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161213520 = 243513163317
BaseRepresentation
bin10011001101111…
…10110001010000
3102020100111101010
421212332301100
5312232313040
623555210520
73665202156
oct1146766120
9366314333
10161213520
1183001116
1245ba6a40
1327526c20
14175a73d6
15e246e80
hex99bec50

161213520 has 160 divisors (see below), whose sum is σ = 543215232. Its totient is φ = 39315456.

The previous prime is 161213513. The next prime is 161213527. The reversal of 161213520 is 25312161.

161213520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (161213513) and next prime (161213527).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161213527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508402 + ... + 508718.

Almost surely, 2161213520 is an apocalyptic number.

161213520 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 161213520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271607616).

161213520 is an abundant number, since it is smaller than the sum of its proper divisors (382001712).

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

161213520 is a wasteful number, since it uses less digits than its factorization.

161213520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 161213520 is about 12696.9886193538. The cubic root of 161213520 is about 544.2525679850.

Adding to 161213520 its reverse (25312161), we get a palindrome (186525681).

The spelling of 161213520 in words is "one hundred sixty-one million, two hundred thirteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 163 195 208 240 260 312 317 326 390 489 520 624 634 652 780 815 951 978 1040 1268 1304 1560 1585 1630 1902 1956 2119 2445 2536 2608 3120 3170 3260 3804 3912 4121 4238 4755 4890 5072 6340 6357 6520 7608 7824 8242 8476 9510 9780 10595 12363 12680 12714 13040 15216 16484 16952 19020 19560 20605 21190 24726 25360 25428 31785 32968 33904 38040 39120 41210 42380 49452 50856 51671 61815 63570 65936 76080 82420 84760 98904 101712 103342 123630 127140 155013 164840 169520 197808 206684 247260 254280 258355 310026 329680 413368 494520 508560 516710 620052 671723 775065 826736 989040 1033420 1240104 1343446 1550130 2015169 2066840 2480208 2686892 3100260 3358615 4030338 4133680 5373784 6200520 6717230 8060676 10075845 10747568 12401040 13434460 16121352 20151690 26868920 32242704 40303380 53737840 80606760 161213520