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145342720 = 285271419
BaseRepresentation
bin10001010100111…
…00000100000000
3101010111011201201
420222130010000
5244201431340
622231110544
73413251465
oct1052340400
9333434651
10145342720
1175051156
1240812454
132415b113
141543566c
15cb5e79a
hex8a9c100

145342720 has 72 divisors (see below), whose sum is σ = 350259840. Its totient is φ = 57784320.

The previous prime is 145342679. The next prime is 145342721. The reversal of 145342720 is 27243541.

It is a super-2 number, since 2×1453427202 = 42249012513996800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145342721) 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, 346671 + ... + 347089.

It is an arithmetic number, because the mean of its divisors is an integer number (4864720).

Almost surely, 2145342720 is an apocalyptic number.

145342720 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 145342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175129920).

145342720 is an abundant number, since it is smaller than the sum of its proper divisors (204917120).

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

145342720 is an equidigital number, since it uses as much as digits as its factorization.

145342720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 145342720 is about 12055.8168532870. The cubic root of 145342720 is about 525.7723718337.

The spelling of 145342720 in words is "one hundred forty-five million, three hundred forty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 271 320 419 542 640 838 1084 1280 1355 1676 2095 2168 2710 3352 4190 4336 5420 6704 8380 8672 10840 13408 16760 17344 21680 26816 33520 34688 43360 53632 67040 69376 86720 107264 113549 134080 173440 227098 268160 346880 454196 536320 567745 908392 1135490 1816784 2270980 3633568 4541960 7267136 9083920 14534272 18167840 29068544 36335680 72671360 145342720