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1007204740 = 22560298353
BaseRepresentation
bin111100000010001…
…011100110000100
32121012020022011021
4330002023212010
54030321022430
6243535520524
733650045653
oct7402134604
92535208137
101007204740
114775a4913
12241389144
13130890649
1497aa519a
155d65607a
hex3c08b984

1007204740 has 24 divisors (see below), whose sum is σ = 2115734040. Its totient is φ = 402766848.

The previous prime is 1007204717. The next prime is 1007204741. The reversal of 1007204740 is 474027001.

It can be written as a sum of positive squares in 4 ways, for example, as 385101376 + 622103364 = 19624^2 + 24942^2 .

It is a super-2 number, since 2×10072047402 = 2028922776556935200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1007204741) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116404 + ... + 124756.

It is an arithmetic number, because the mean of its divisors is an integer number (88155585).

Almost surely, 21007204740 is an apocalyptic number.

1007204740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1007204740 is an abundant number, since it is smaller than the sum of its proper divisors (1108529300).

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

1007204740 is a wasteful number, since it uses less digits than its factorization.

1007204740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14391 (or 14389 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 25.

The square root of 1007204740 is about 31736.4890937860. The cubic root of 1007204740 is about 1002.3958353887.

The spelling of 1007204740 in words is "one billion, seven million, two hundred four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 6029 8353 12058 16706 24116 30145 33412 41765 60290 83530 120580 167060 50360237 100720474 201440948 251801185 503602370 1007204740