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161073024 = 2737311933
BaseRepresentation
bin10011001100111…
…00011110000000
3102020002100122120
421212130132000
5312213314044
623552204240
73664045440
oct1146343600
9366070576
10161073024
1182a15602
1245b39680
13274a7ca8
141756c120
15e21a519
hex999c780

161073024 has 128 divisors (see below), whose sum is σ = 505006080. Its totient is φ = 44513280.

The previous prime is 161073019. The next prime is 161073043. The reversal of 161073024 is 420370161.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×1610730243 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 161072985 and 161073003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82362 + ... + 84294.

It is an arithmetic number, because the mean of its divisors is an integer number (3945360).

Almost surely, 2161073024 is an apocalyptic number.

161073024 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 161073024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252503040).

161073024 is an abundant number, since it is smaller than the sum of its proper divisors (343933056).

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

161073024 is a wasteful number, since it uses less digits than its factorization.

161073024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 161073024 is about 12691.4547629498. The cubic root of 161073024 is about 544.0944184442.

The spelling of 161073024 in words is "one hundred sixty-one million, seventy-three thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 336 372 384 434 448 496 651 672 744 868 896 992 1302 1344 1488 1736 1933 1984 2604 2688 2976 3472 3866 3968 5208 5799 5952 6944 7732 10416 11598 11904 13531 13888 15464 20832 23196 27062 27776 30928 40593 41664 46392 54124 59923 61856 81186 83328 92784 108248 119846 123712 162372 179769 185568 216496 239692 247424 324744 359538 371136 419461 432992 479384 649488 719076 742272 838922 865984 958768 1258383 1298976 1438152 1677844 1731968 1917536 2516766 2597952 2876304 3355688 3835072 5033532 5195904 5752608 6711376 7670144 10067064 11505216 13422752 20134128 23010432 26845504 40268256 53691008 80536512 161073024