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161640540 = 223253312713
BaseRepresentation
bin10011010001001…
…11000001011100
3102021011012010200
421220213001130
5312334444130
624012303500
74001631135
oct1150470134
9367135120
10161640540
1183272a26
1246171b90
13276463b9
1417678c8c
15e2cd760
hex9a2705c

161640540 has 72 divisors (see below), whose sum is σ = 491972208. Its totient is φ = 42958080.

The previous prime is 161640529. The next prime is 161640587. The reversal of 161640540 is 45046161.

161640540 is a `hidden beast` number, since 1 + 61 + 64 + 0 + 540 = 666.

It is a super-2 number, since 2×1616405402 = 52255328342983200, which contains 22 as substring.

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, 58224 + ... + 60936.

Almost surely, 2161640540 is an apocalyptic number.

161640540 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 161640540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245986104).

161640540 is an abundant number, since it is smaller than the sum of its proper divisors (330331668).

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

161640540 is a wasteful number, since it uses less digits than its factorization.

161640540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3059 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 161640540 is about 12713.7932970455. The cubic root of 161640540 is about 544.7326803943.

The spelling of 161640540 in words is "one hundred sixty-one million, six hundred forty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 331 662 993 1324 1655 1986 2713 2979 3310 3972 4965 5426 5958 6620 8139 9930 10852 11916 13565 14895 16278 19860 24417 27130 29790 32556 40695 48834 54260 59580 81390 97668 122085 162780 244170 488340 898003 1796006 2694009 3592012 4490015 5388018 8082027 8980030 10776036 13470045 16164054 17960060 26940090 32328108 40410135 53880180 80820270 161640540