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60007072 = 2531241251
BaseRepresentation
bin1110010011101…
…0001010100000
311011220200020011
43210322022200
5110330211242
65542054304
71326023506
oct344721240
9134820204
1060007072
1130966224
121811a394
13c580258
147d80676
155404d17
hex393a2a0

60007072 has 48 divisors (see below), whose sum is σ = 122943744. Its totient is φ = 28800000.

The previous prime is 60007063. The next prime is 60007097. The reversal of 60007072 is 27070006.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 238947 + ... + 239197.

It is an arithmetic number, because the mean of its divisors is an integer number (2561328).

Almost surely, 260007072 is an apocalyptic number.

60007072 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 60007072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61471872).

60007072 is an abundant number, since it is smaller than the sum of its proper divisors (62936672).

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

60007072 is a wasteful number, since it uses less digits than its factorization.

60007072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 60007072 is about 7746.4231746013. The cubic root of 60007072 is about 391.5021445926.

Adding to 60007072 its reverse (27070006), we get a palindrome (87077078).

The spelling of 60007072 in words is "sixty million, seven thousand, seventy-two".

Divisors: 1 2 4 8 16 31 32 62 124 241 248 251 482 496 502 964 992 1004 1928 2008 3856 4016 7471 7712 7781 8032 14942 15562 29884 31124 59768 60491 62248 119536 120982 124496 239072 241964 248992 483928 967856 1875221 1935712 3750442 7500884 15001768 30003536 60007072