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161138964 = 22372922281
BaseRepresentation
bin10011001101011…
…00100100010100
3102020012201002210
421212230210110
5312222421324
623553433420
73664441620
oct1146544424
9366181083
10161138964
1182a600a8
1245b6b870
13274cbccc
1417588180
15e22ed29
hex99ac914

161138964 has 72 divisors (see below), whose sum is σ = 445227328. Its totient is φ = 44432640.

The previous prime is 161138941. The next prime is 161138969. The reversal of 161138964 is 469831161.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161138969) 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, 69504 + ... + 71784.

Almost surely, 2161138964 is an apocalyptic number.

161138964 is a gapful number since it is divisible by the number (14) 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 161138964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222613664).

161138964 is an abundant number, since it is smaller than the sum of its proper divisors (284088364).

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

161138964 is a wasteful number, since it uses less digits than its factorization.

161138964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353 (or 2322 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 161138964 is about 12694.0523080693. The cubic root of 161138964 is about 544.1686553552.

The spelling of 161138964 in words is "one hundred sixty-one million, one hundred thirty-eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 841 1218 1682 2281 2436 2523 3364 4562 5046 5887 6843 9124 10092 11774 13686 15967 17661 23548 27372 31934 35322 47901 63868 66149 70644 95802 132298 191604 198447 264596 396894 463043 793788 926086 1389129 1852172 1918321 2778258 3836642 5556516 5754963 7673284 11509926 13428247 23019852 26856494 40284741 53712988 80569482 161138964