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94020480 = 273355441
BaseRepresentation
bin1011001101010…
…10001110000000
320112220201212000
411212222032000
5143032123410
613155104000
72221106121
oct546521600
9215821760
1094020480
1149087a84
12275a2000
131662bc28
14c6b6048
1583c2dc0
hex59aa380

94020480 has 128 divisors (see below), whose sum is σ = 333050400. Its totient is φ = 25067520.

The previous prime is 94020439. The next prime is 94020517. The reversal of 94020480 is 8402049.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14560 + ... + 20000.

Almost surely, 294020480 is an apocalyptic number.

94020480 is a gapful number since it is divisible by the number (90) 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 94020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166525200).

94020480 is an abundant number, since it is smaller than the sum of its proper divisors (239029920).

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

94020480 is a wasteful number, since it uses less digits than its factorization.

94020480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5469 (or 5451 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 94020480 is about 9696.4158326672. The cubic root of 94020480 is about 454.7166129728.

The spelling of 94020480 in words is "ninety-four million, twenty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5441 5760 8640 10882 16323 17280 21764 27205 32646 43528 48969 54410 65292 81615 87056 97938 108820 130584 146907 163230 174112 195876 217640 244845 261168 293814 326460 348224 391752 435280 489690 522336 587628 652920 696448 734535 783504 870560 979380 1044672 1175256 1305840 1469070 1567008 1741120 1958760 2089344 2350512 2611680 2938140 3134016 3482240 3917520 4701024 5223360 5876280 6268032 7835040 9402048 10446720 11752560 15670080 18804096 23505120 31340160 47010240 94020480