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4962720 = 253572211
BaseRepresentation
bin10010111011100110100000
3100100010120110
4102323212200
52232301340
6254211320
760116400
oct22734640
910303513
104962720
11288a624
1217b3b40
131049b29
14932800
15680680
hex4bb9a0

4962720 has 144 divisors (see below), whose sum is σ = 18271008. Its totient is φ = 1128960.

The previous prime is 4962719. The next prime is 4962721. The reversal of 4962720 is 272694.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4962719) and next prime (4962721).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4962721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23415 + ... + 23625.

It is an arithmetic number, because the mean of its divisors is an integer number (126882).

Almost surely, 24962720 is an apocalyptic number.

4962720 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 4962720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9135504).

4962720 is an abundant number, since it is smaller than the sum of its proper divisors (13308288).

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

4962720 is a wasteful number, since it uses less digits than its factorization.

4962720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 4962720 is about 2227.7163194626. The cubic root of 4962720 is about 170.5715480168.

The spelling of 4962720 in words is "four million, nine hundred sixty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 211 224 240 245 280 294 336 392 420 422 480 490 560 588 633 672 735 784 840 844 980 1055 1120 1176 1266 1470 1477 1568 1680 1688 1960 2110 2352 2532 2940 2954 3165 3360 3376 3920 4220 4431 4704 5064 5880 5908 6330 6752 7385 7840 8440 8862 10128 10339 11760 11816 12660 14770 16880 17724 20256 20678 22155 23520 23632 25320 29540 31017 33760 35448 41356 44310 47264 50640 51695 59080 62034 70896 82712 88620 101280 103390 118160 124068 141792 155085 165424 177240 206780 236320 248136 310170 330848 354480 413560 496272 620340 708960 827120 992544 1240680 1654240 2481360 4962720