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145360820 = 22511660731
BaseRepresentation
bin10001010101000…
…00011110110100
3101010112002120002
420222200132310
5244203021240
622231330432
73413355323
oct1052403664
9333462502
10145360820
1175063810
1240820a18
1324166427
141543c0ba
15cb64d15
hex8aa07b4

145360820 has 24 divisors (see below), whose sum is σ = 333008928. Its totient is φ = 52858400.

The previous prime is 145360819. The next prime is 145360861. The reversal of 145360820 is 28063541.

It is a super-2 number, since 2×1453608202 = 42259535982144800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 330146 + ... + 330585.

It is an arithmetic number, because the mean of its divisors is an integer number (13875372).

Almost surely, 2145360820 is an apocalyptic number.

145360820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145360820 is an abundant number, since it is smaller than the sum of its proper divisors (187648108).

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

145360820 is a wasteful number, since it uses less digits than its factorization.

145360820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660751 (or 660749 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 145360820 is about 12056.5675048913. The cubic root of 145360820 is about 525.7941963070.

The spelling of 145360820 in words is "one hundred forty-five million, three hundred sixty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 660731 1321462 2642924 3303655 6607310 7268041 13214620 14536082 29072164 36340205 72680410 145360820