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161076960 = 253251110169
BaseRepresentation
bin10011001100111…
…01011011100000
3102020002120001100
421212131123200
5312213430320
623552234400
73664063062
oct1146353340
9366076040
10161076960
1182a18560
1245b3ba00
13274a9a15
141756d732
15e21b790
hex999d6e0

161076960 has 144 divisors (see below), whose sum is σ = 599704560. Its totient is φ = 39045120.

The previous prime is 161076913. The next prime is 161077019. The reversal of 161076960 is 69670161.

161076960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10756 + ... + 20924.

It is an arithmetic number, because the mean of its divisors is an integer number (4164615).

Almost surely, 2161076960 is an apocalyptic number.

161076960 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 161076960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299852280).

161076960 is an abundant number, since it is smaller than the sum of its proper divisors (438627600).

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

161076960 is a wasteful number, since it uses less digits than its factorization.

161076960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10201 (or 10190 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 161076960 is about 12691.6098269684. The cubic root of 161076960 is about 544.0988502606.

The spelling of 161076960 in words is "one hundred sixty-one million, seventy-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 10169 15840 20338 30507 40676 50845 61014 81352 91521 101690 111859 122028 152535 162704 183042 203380 223718 244056 305070 325408 335577 366084 406760 447436 457605 488112 559295 610140 671154 732168 813520 894872 915210 976224 1006731 1118590 1220280 1342308 1464336 1627040 1677885 1789744 1830420 2013462 2237180 2440560 2684616 2928672 3355770 3579488 3660840 4026924 4474360 4881120 5033655 5369232 6711540 7321680 8053848 8948720 10067310 10738464 13423080 14643360 16107696 17897440 20134620 26846160 32215392 40269240 53692320 80538480 161076960