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145117060 = 2251119149233
BaseRepresentation
bin10001010011001…
…00111110000100
3101010001201011221
420221210332010
5244122221220
622222210124
73411321544
oct1051447604
9333051157
10145117060
1174a07660
1240723944
13240ac4aa
14153b7324
15cb179aa
hex8a64f84

145117060 has 96 divisors (see below), whose sum is σ = 353808000. Its totient is φ = 49443840.

The previous prime is 145117057. The next prime is 145117061. The reversal of 145117060 is 60711541.

It is a happy number.

It is a super-2 number, since 2×1451170602 = 42117922206087200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145117061) 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, 622704 + ... + 622936.

It is an arithmetic number, because the mean of its divisors is an integer number (3685500).

Almost surely, 2145117060 is an apocalyptic number.

145117060 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 145117060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176904000).

145117060 is an abundant number, since it is smaller than the sum of its proper divisors (208690940).

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

145117060 is a wasteful number, since it uses less digits than its factorization.

145117060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 145117060 is about 12046.4542501103. The cubic root of 145117060 is about 525.5001250828.

The spelling of 145117060 in words is "one hundred forty-five million, one hundred seventeen thousand, sixty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 149 190 209 220 233 298 380 418 466 596 745 836 932 1045 1165 1490 1639 2090 2330 2563 2831 2980 3278 4180 4427 4660 5126 5662 6556 8195 8854 10252 11324 12815 14155 16390 17708 22135 25630 28310 31141 32780 34717 44270 48697 51260 56620 62282 69434 88540 97394 124564 138868 155705 173585 194788 243485 311410 347170 381887 486970 622820 659623 694340 763774 973940 1319246 1527548 1909435 2638492 3298115 3818870 6596230 7255853 7637740 13192460 14511706 29023412 36279265 72558530 145117060