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145542480 = 24355771051
BaseRepresentation
bin10001010110011…
…00110101010000
3101010212022202020
420223030311100
5244224324410
622235251440
73415043046
oct1053146520
9333768666
10145542480
1175178246
12408a9b80
13241cb015
1415488396
15cb9da70
hex8accd50

145542480 has 80 divisors (see below), whose sum is σ = 452393664. Its totient is φ = 38707200.

The previous prime is 145542437. The next prime is 145542517. The reversal of 145542480 is 84245541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1455424802 = 42365226969100800, 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 15 ways as a sum of consecutive naturals, for example, 137955 + ... + 139005.

Almost surely, 2145542480 is an apocalyptic number.

145542480 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 145542480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226196832).

145542480 is an abundant number, since it is smaller than the sum of its proper divisors (306851184).

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

145542480 is a wasteful number, since it uses less digits than its factorization.

145542480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

The square root of 145542480 is about 12064.0988059614. The cubic root of 145542480 is about 526.0131365781.

The spelling of 145542480 in words is "one hundred forty-five million, five hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 577 1051 1154 1731 2102 2308 2885 3153 3462 4204 4616 5255 5770 6306 6924 8408 8655 9232 10510 11540 12612 13848 15765 16816 17310 21020 23080 25224 27696 31530 34620 42040 46160 50448 63060 69240 84080 126120 138480 252240 606427 1212854 1819281 2425708 3032135 3638562 4851416 6064270 7277124 9096405 9702832 12128540 14554248 18192810 24257080 29108496 36385620 48514160 72771240 145542480