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94513680 = 24325149881
BaseRepresentation
bin1011010001000…
…10101000010000
320120211210101200
411220202220100
5143143414210
613213431200
72225232042
oct550425020
9216753350
1094513680
1149394588
122779b500
1316772571
14c7a3a92
15846e0c0
hex5a22a10

94513680 has 120 divisors (see below), whose sum is σ = 319901400. Its totient is φ = 25006080.

The previous prime is 94513669. The next prime is 94513691. The reversal of 94513680 is 8631549.

It is an interprime number because it is at equal distance from previous prime (94513669) and next prime (94513691).

It can be written as a sum of positive squares in 4 ways, for example, as 501264 + 94012416 = 708^2 + 9696^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 106840 + ... + 107720.

It is an arithmetic number, because the mean of its divisors is an integer number (2665845).

Almost surely, 294513680 is an apocalyptic number.

94513680 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 94513680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159950700).

94513680 is an abundant number, since it is smaller than the sum of its proper divisors (225387720).

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

94513680 is a wasteful number, since it uses less digits than its factorization.

94513680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 94513680 is about 9721.8146454250. The cubic root of 94513680 is about 455.5103238410.

It can be divided in two parts, 9451 and 3680, that added together give a palindrome (13131).

The spelling of 94513680 in words is "ninety-four million, five hundred thirteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 149 180 240 298 360 447 596 720 745 881 894 1192 1341 1490 1762 1788 2235 2384 2643 2682 2980 3524 3576 4405 4470 5286 5364 5960 6705 7048 7152 7929 8810 8940 10572 10728 11920 13215 13410 14096 15858 17620 17880 21144 21456 26430 26820 31716 35240 35760 39645 42288 52860 53640 63432 70480 79290 105720 107280 126864 131269 158580 211440 262538 317160 393807 525076 634320 656345 787614 1050152 1181421 1312690 1575228 1969035 2100304 2362842 2625380 3150456 3938070 4725684 5250760 5907105 6300912 7876140 9451368 10501520 11814210 15752280 18902736 23628420 31504560 47256840 94513680