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4995960 = 2335173179
BaseRepresentation
bin10011000011101101111000
3100101211011120
4103003231320
52234332320
6255025240
760315324
oct23035570
910354146
104995960
1129025a2
12180b220
13105bcb8
14940984
1568a440
hex4c3b78

4995960 has 128 divisors (see below), whose sum is σ = 16588800. Its totient is φ = 1198080.

The previous prime is 4995953. The next prime is 4995983. The reversal of 4995960 is 695994.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63201 + ... + 63279.

It is an arithmetic number, because the mean of its divisors is an integer number (129600).

Almost surely, 24995960 is an apocalyptic number.

4995960 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 4995960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8294400).

4995960 is an abundant number, since it is smaller than the sum of its proper divisors (11592840).

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

4995960 is a wasteful number, since it uses less digits than its factorization.

4995960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 4995960 is about 2235.1644234821. The cubic root of 4995960 is about 170.9515269057.

The spelling of 4995960 in words is "four million, nine hundred ninety-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 31 34 40 51 60 62 68 79 85 93 102 120 124 136 155 158 170 186 204 237 248 255 310 316 340 372 395 408 465 474 510 527 620 632 680 744 790 930 948 1020 1054 1185 1240 1343 1580 1581 1860 1896 2040 2108 2370 2449 2635 2686 3160 3162 3720 4029 4216 4740 4898 5270 5372 6324 6715 7347 7905 8058 9480 9796 10540 10744 12245 12648 13430 14694 15810 16116 19592 20145 21080 24490 26860 29388 31620 32232 36735 40290 41633 48980 53720 58776 63240 73470 80580 83266 97960 124899 146940 161160 166532 208165 249798 293880 333064 416330 499596 624495 832660 999192 1248990 1665320 2497980 4995960