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4126720 = 21151331
BaseRepresentation
bin1111101111100000000000
321202122210111
433233200000
52024023340
6224241104
750035153
oct17574000
97678714
104126720
112369514
121470194
13b16460
14795c9a
15567aea
hex3ef800

4126720 has 96 divisors (see below), whose sum is σ = 11007360. Its totient is φ = 1474560.

The previous prime is 4126697. The next prime is 4126757. The reversal of 4126720 is 276214.

It is a junction number, because it is equal to n+sod(n) for n = 4126691 and 4126700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133105 + ... + 133135.

It is an arithmetic number, because the mean of its divisors is an integer number (114660).

Almost surely, 24126720 is an apocalyptic number.

4126720 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 4126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503680).

4126720 is an abundant number, since it is smaller than the sum of its proper divisors (6880640).

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

4126720 is a wasteful number, since it uses less digits than its factorization.

4126720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 4126720 is about 2031.4329917573. The cubic root of 4126720 is about 160.3990041459.

The spelling of 4126720 in words is "four million, one hundred twenty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 32 40 52 62 64 65 80 104 124 128 130 155 160 208 248 256 260 310 320 403 416 496 512 520 620 640 806 832 992 1024 1040 1240 1280 1612 1664 1984 2015 2048 2080 2480 2560 3224 3328 3968 4030 4160 4960 5120 6448 6656 7936 8060 8320 9920 10240 12896 13312 15872 16120 16640 19840 25792 26624 31744 32240 33280 39680 51584 63488 64480 66560 79360 103168 128960 133120 158720 206336 257920 317440 412672 515840 825344 1031680 2063360 4126720