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94102080 = 2635831181
BaseRepresentation
bin1011001101111…
…10001001000000
320120001212210020
411212332021000
5143042231310
613200533440
72221566042
oct546761100
9216055706
1094102080
1149133316
1227621280
131665a107
14c6d7a92
1583dc170
hex59be240

94102080 has 112 divisors (see below), whose sum is σ = 302629824. Its totient is φ = 24770560.

The previous prime is 94102061. The next prime is 94102087. The reversal of 94102080 is 8020149.

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

It is a self number, because there is not a number n which added to its sum of digits gives 94102080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94102087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79090 + ... + 80270.

It is an arithmetic number, because the mean of its divisors is an integer number (2702052).

Almost surely, 294102080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94102080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151314912).

94102080 is an abundant number, since it is smaller than the sum of its proper divisors (208527744).

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

94102080 is a wasteful number, since it uses less digits than its factorization.

94102080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 94102080 is about 9700.6226604275. The cubic root of 94102080 is about 454.8481238464.

The spelling of 94102080 in words is "ninety-four million, one hundred two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 83 96 120 160 166 192 240 249 320 332 415 480 498 664 830 960 996 1181 1245 1328 1660 1992 2362 2490 2656 3320 3543 3984 4724 4980 5312 5905 6640 7086 7968 9448 9960 11810 13280 14172 15936 17715 18896 19920 23620 26560 28344 35430 37792 39840 47240 56688 70860 75584 79680 94480 98023 113376 141720 188960 196046 226752 283440 294069 377920 392092 490115 566880 588138 784184 980230 1133760 1176276 1470345 1568368 1960460 2352552 2940690 3136736 3920920 4705104 5881380 6273472 7841840 9410208 11762760 15683680 18820416 23525520 31367360 47051040 94102080