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6240672 = 253331233
BaseRepresentation
bin10111110011100110100000
3102202001121000
4113303212200
53044200142
6341432000
7104021244
oct27634640
912661530
106240672
113582789
12210b600
1313a6709
14b86424
1583414c
hex5f39a0

6240672 has 96 divisors (see below), whose sum is σ = 18869760. Its totient is φ = 2004480.

The previous prime is 6240671. The next prime is 6240691. The reversal of 6240672 is 2760426.

6240672 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×62406723 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6240671) 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, 26668 + ... + 26900.

It is an arithmetic number, because the mean of its divisors is an integer number (196560).

Almost surely, 26240672 is an apocalyptic number.

6240672 is a gapful number since it is divisible by the number (62) 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 6240672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9434880).

6240672 is an abundant number, since it is smaller than the sum of its proper divisors (12629088).

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

6240672 is a wasteful number, since it uses less digits than its factorization.

6240672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 6240672 is about 2498.1337033874. The cubic root of 6240672 is about 184.1098902488.

The spelling of 6240672 in words is "six million, two hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 233 248 279 288 372 432 466 496 558 699 744 837 864 932 992 1116 1398 1488 1674 1864 2097 2232 2796 2976 3348 3728 4194 4464 5592 6291 6696 7223 7456 8388 8928 11184 12582 13392 14446 16776 21669 22368 25164 26784 28892 33552 43338 50328 57784 65007 67104 86676 100656 115568 130014 173352 195021 201312 231136 260028 346704 390042 520056 693408 780084 1040112 1560168 2080224 3120336 6240672