Search a number
-
+
161387600 = 24521143853
BaseRepresentation
bin10011001111010…
…01010001010000
3102020200100011112
421213221101100
5312303400400
624003032452
73666525533
oct1147512120
9366610145
10161387600
118310a990
124606b728
132758822a
1417610a1a
15e27d835
hex99e9450

161387600 has 120 divisors (see below), whose sum is σ = 433326432. Its totient is φ = 57254400.

The previous prime is 161387591. The next prime is 161387609. The reversal of 161387600 is 6783161.

It is an interprime number because it is at equal distance from previous prime (161387591) and next prime (161387609).

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161387609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188774 + ... + 189626.

Almost surely, 2161387600 is an apocalyptic number.

161387600 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 161387600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216663216).

161387600 is an abundant number, since it is smaller than the sum of its proper divisors (271938832).

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

161387600 is a wasteful number, since it uses less digits than its factorization.

161387600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 161387600 is about 12703.8419385633. The cubic root of 161387600 is about 544.4483940047.

The spelling of 161387600 in words is "one hundred sixty-one million, three hundred eighty-seven thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 43 44 50 55 80 86 88 100 110 172 176 200 215 220 275 344 400 430 440 473 550 688 853 860 880 946 1075 1100 1706 1720 1892 2150 2200 2365 3412 3440 3784 4265 4300 4400 4730 6824 7568 8530 8600 9383 9460 11825 13648 17060 17200 18766 18920 21325 23650 34120 36679 37532 37840 42650 46915 47300 68240 73358 75064 85300 93830 94600 146716 150128 170600 183395 187660 189200 234575 293432 341200 366790 375320 403469 469150 586864 733580 750640 806938 916975 938300 1467160 1613876 1833950 1876600 2017345 2934320 3227752 3667900 3753200 4034690 6455504 7335800 8069380 10086725 14671600 16138760 20173450 32277520 40346900 80693800 161387600