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161687040 = 293537569
BaseRepresentation
bin10011010001100…
…10011000000000
3102021020112220220
421220302120000
5312342441130
624013303040
74002213534
oct1150623000
9367215826
10161687040
11832a4959
1246194a80
1327661608
141768bbc4
15e2dc410
hex9a32600

161687040 has 160 divisors (see below), whose sum is σ = 531796320. Its totient is φ = 41877504.

The previous prime is 161687021. The next prime is 161687059. The reversal of 161687040 is 40786161.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (161687021) and next prime (161687059).

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1616870402 = 52285397807923200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 161686992 and 161687010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283876 + ... + 284444.

It is an arithmetic number, because the mean of its divisors is an integer number (3323727).

Almost surely, 2161687040 is an apocalyptic number.

161687040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265898160).

161687040 is an abundant number, since it is smaller than the sum of its proper divisors (370109280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

161687040 is an equidigital number, since it uses as much as digits as its factorization.

161687040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 161687040 is about 12715.6218880557. The cubic root of 161687040 is about 544.7849107756.

The spelling of 161687040 in words is "one hundred sixty-one million, six hundred eighty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 128 148 160 185 192 222 240 256 296 320 370 384 444 480 512 555 569 592 640 740 768 888 960 1110 1138 1184 1280 1480 1536 1707 1776 1920 2220 2276 2368 2560 2845 2960 3414 3552 3840 4440 4552 4736 5690 5920 6828 7104 7680 8535 8880 9104 9472 11380 11840 13656 14208 17070 17760 18208 18944 21053 22760 23680 27312 28416 34140 35520 36416 42106 45520 47360 54624 56832 63159 68280 71040 72832 84212 91040 94720 105265 109248 126318 136560 142080 145664 168424 182080 210530 218496 252636 273120 284160 291328 315795 336848 364160 421060 436992 505272 546240 631590 673696 728320 842120 873984 1010544 1092480 1263180 1347392 1456640 1684240 2021088 2184960 2526360 2694784 3368480 4042176 4369920 5052720 5389568 6736960 8084352 10105440 10779136 13473920 16168704 20210880 26947840 32337408 40421760 53895680 80843520 161687040