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1055147520 = 29357191033
BaseRepresentation
bin111110111001000…
…100011000000000
32201112110001021210
4332321010120000
54130104210040
6252411250120
735101414560
oct7671043000
92645401253
101055147520
114a166aa49
12255449940
1313a7a855b
14a01c4da0
1562976480
hex3ee44600

1055147520 has 320 divisors, whose sum is σ = 4061882880. Its totient is φ = 228261888.

The previous prime is 1055147507. The next prime is 1055147521. The reversal of 1055147520 is 257415501.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×10551475202 = 2226672577924300800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055147521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1020924 + ... + 1021956.

It is an arithmetic number, because the mean of its divisors is an integer number (12693384).

Almost surely, 21055147520 is an apocalyptic number.

1055147520 is a gapful number since it is divisible by the number (10) 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 1055147520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030941440).

1055147520 is an abundant number, since it is smaller than the sum of its proper divisors (3006735360).

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

1055147520 is a wasteful number, since it uses less digits than its factorization.

1055147520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 30.

The square root of 1055147520 is about 32483.0343410218. The cubic root of 1055147520 is about 1018.0545771731.

The spelling of 1055147520 in words is "one billion, fifty-five million, one hundred forty-seven thousand, five hundred twenty".