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16483640 = 2351923241
BaseRepresentation
bin111110111000…
…010100111000
31011000110022012
4332320110320
513204434030
61345145052
7260052155
oct76702470
934013265
1016483640
119339448
12562b188
133551a44
14229122c
1516a9095
hexfb8538

16483640 has 96 divisors (see below), whose sum is σ = 41806800. Its totient is φ = 5829120.

The previous prime is 16483639. The next prime is 16483657. The reversal of 16483640 is 4638461.

It is a junction number, because it is equal to n+sod(n) for n = 16483597 and 16483606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 402020 + ... + 402060.

Almost surely, 216483640 is an apocalyptic number.

16483640 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 16483640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20903400).

16483640 is an abundant number, since it is smaller than the sum of its proper divisors (25323160).

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

16483640 is a wasteful number, since it uses less digits than its factorization.

16483640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 16483640 is about 4060.0049261054. The cubic root of 16483640 is about 254.4979999663.

The spelling of 16483640 in words is "sixteen million, four hundred eighty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 19 20 23 38 40 41 46 76 82 92 95 115 152 164 184 190 205 230 328 380 410 437 460 529 760 779 820 874 920 943 1058 1558 1640 1748 1886 2116 2185 2645 3116 3496 3772 3895 4232 4370 4715 5290 6232 7544 7790 8740 9430 10051 10580 15580 17480 17917 18860 20102 21160 21689 31160 35834 37720 40204 43378 50255 71668 80408 86756 89585 100510 108445 143336 173512 179170 201020 216890 358340 402040 412091 433780 716680 824182 867560 1648364 2060455 3296728 4120910 8241820 16483640