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145268620 = 22574359409
BaseRepresentation
bin10001010100010…
…01111110001100
3101010100102002021
420222021332030
5244142043440
622225335524
73412522450
oct1052117614
9333312067
10145268620
1175000512
12407975a4
1324133483
1415416660
15cb4784a
hex8a89f8c

145268620 has 96 divisors (see below), whose sum is σ = 363686400. Its totient is φ = 47706624.

The previous prime is 145268581. The next prime is 145268639. The reversal of 145268620 is 26862541.

It is a super-2 number, since 2×1452686202 = 42205943913408800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354976 + ... + 355384.

It is an arithmetic number, because the mean of its divisors is an integer number (3788400).

Almost surely, 2145268620 is an apocalyptic number.

145268620 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 145268620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181843200).

145268620 is an abundant number, since it is smaller than the sum of its proper divisors (218417780).

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

145268620 is a wasteful number, since it uses less digits than its factorization.

145268620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 145268620 is about 12052.7432562052. The cubic root of 145268620 is about 525.6830052305.

The spelling of 145268620 in words is "one hundred forty-five million, two hundred sixty-eight thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 59 70 86 118 140 172 215 236 295 301 409 413 430 590 602 818 826 860 1180 1204 1505 1636 1652 2045 2065 2537 2863 3010 4090 4130 5074 5726 6020 8180 8260 10148 11452 12685 14315 17587 17759 24131 25370 28630 35174 35518 48262 50740 57260 70348 71036 87935 88795 96524 120655 123109 168917 175870 177590 241310 246218 337834 351740 355180 482620 492436 615545 675668 844585 1037633 1231090 1689170 2075266 2462180 3378340 4150532 5188165 7263431 10376330 14526862 20752660 29053724 36317155 72634310 145268620