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38985360 = 2435162439
BaseRepresentation
bin1001010010110…
…1111010010000
32201100122212020
42110231322100
534440012420
63511331440
7652240641
oct224557220
981318766
1038985360
1120008307
1211080b80
1380cca7b
14526b6c8
153651340
hex252de90

38985360 has 40 divisors (see below), whose sum is σ = 120855360. Its totient is φ = 10396032.

The previous prime is 38985347. The next prime is 38985389. The reversal of 38985360 is 6358983.

It is a tau number, because it is divible by the number of its divisors (40).

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, 80980 + ... + 81459.

It is an arithmetic number, because the mean of its divisors is an integer number (3021384).

Almost surely, 238985360 is an apocalyptic number.

38985360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38985360 is an abundant number, since it is smaller than the sum of its proper divisors (81870000).

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

38985360 is a wasteful number, since it uses less digits than its factorization.

38985360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162455 (or 162449 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 38985360 is about 6243.8257502912. The cubic root of 38985360 is about 339.0787053706.

The spelling of 38985360 in words is "thirty-eight million, nine hundred eighty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 162439 324878 487317 649756 812195 974634 1299512 1624390 1949268 2436585 2599024 3248780 3898536 4873170 6497560 7797072 9746340 12995120 19492680 38985360