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4975680 = 26357173
BaseRepresentation
bin10010111110110001000000
3100100210100110
4102332301000
52233210210
6254351320
760202233
oct22766100
910323313
104975680
112899336
1217bb540
1310529b8
1493741a
15684420
hex4bec40

4975680 has 112 divisors (see below), whose sum is σ = 16239744. Its totient is φ = 1290240.

The previous prime is 4975673. The next prime is 4975757. The reversal of 4975680 is 865794.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68124 + ... + 68196.

Almost surely, 24975680 is an apocalyptic number.

4975680 is a gapful number since it is divisible by the number (40) 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 4975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8119872).

4975680 is an abundant number, since it is smaller than the sum of its proper divisors (11264064).

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

4975680 is a wasteful number, since it uses less digits than its factorization.

4975680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 4975680 is about 2230.6232312966. The cubic root of 4975680 is about 170.7198998438.

The spelling of 4975680 in words is "four million, nine hundred seventy-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 71 73 80 96 120 142 146 160 192 213 219 240 284 292 320 355 365 426 438 480 568 584 710 730 852 876 960 1065 1095 1136 1168 1420 1460 1704 1752 2130 2190 2272 2336 2840 2920 3408 3504 4260 4380 4544 4672 5183 5680 5840 6816 7008 8520 8760 10366 11360 11680 13632 14016 15549 17040 17520 20732 22720 23360 25915 31098 34080 35040 41464 51830 62196 68160 70080 77745 82928 103660 124392 155490 165856 207320 248784 310980 331712 414640 497568 621960 829280 995136 1243920 1658560 2487840 4975680