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94920960 = 2835191301
BaseRepresentation
bin1011010100001…
…10000100000000
320121121111002010
411222012010000
5143244432320
613230252520
72231546331
oct552060400
9217544063
1094920960
1149642582
1227957140
1316885a64
14c86c288
1584eeae0
hex5a86100

94920960 has 144 divisors (see below), whose sum is σ = 319354560. Its totient is φ = 23961600.

The previous prime is 94920937. The next prime is 94920967. The reversal of 94920960 is 6902949.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (94920967) 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, 72310 + ... + 73610.

It is an arithmetic number, because the mean of its divisors is an integer number (2217740).

Almost surely, 294920960 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 94920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159677280).

94920960 is an abundant number, since it is smaller than the sum of its proper divisors (224433600).

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

94920960 is a wasteful number, since it uses less digits than its factorization.

94920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 94920960 is about 9742.7388346399. The cubic root of 94920960 is about 456.1636839277.

The spelling of 94920960 in words is "ninety-four million, nine hundred twenty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 256 285 304 320 380 384 456 480 570 608 640 760 768 912 960 1140 1216 1280 1301 1520 1824 1920 2280 2432 2602 3040 3648 3840 3903 4560 4864 5204 6080 6505 7296 7806 9120 10408 12160 13010 14592 15612 18240 19515 20816 24320 24719 26020 31224 36480 39030 41632 49438 52040 62448 72960 74157 78060 83264 98876 104080 123595 124896 148314 156120 166528 197752 208160 247190 249792 296628 312240 333056 370785 395504 416320 494380 499584 593256 624480 741570 791008 832640 988760 999168 1186512 1248960 1483140 1582016 1665280 1977520 2373024 2497920 2966280 3164032 3955040 4746048 4995840 5932560 6328064 7910080 9492096 11865120 15820160 18984192 23730240 31640320 47460480 94920960