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7416072 = 2332103001
BaseRepresentation
bin11100010010100100001000
3111221202221100
4130102210020
53344303242
6422541400
7120015126
oct34224410
914852840
107416072
114205894
122597860
1316c8711
14db0916
159b754c
hex712908

7416072 has 24 divisors (see below), whose sum is σ = 20085390. Its totient is φ = 2472000.

The previous prime is 7416049. The next prime is 7416091. The reversal of 7416072 is 2706147.

It can be written as a sum of positive squares in only one way, i.e., 7322436 + 93636 = 2706^2 + 306^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51429 + ... + 51572.

Almost surely, 27416072 is an apocalyptic number.

7416072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7416072 is an abundant number, since it is smaller than the sum of its proper divisors (12669318).

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

7416072 is a wasteful number, since it uses less digits than its factorization.

7416072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103013 (or 103006 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 7416072 is about 2723.2465918458. The cubic root of 7416072 is about 195.0104925321.

The spelling of 7416072 in words is "seven million, four hundred sixteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103001 206002 309003 412004 618006 824008 927009 1236012 1854018 2472024 3708036 7416072