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147157020 = 22335299397
BaseRepresentation
bin10001100010101…
…11000000011100
3101020220100111000
420301113000130
5300133011040
622334030300
73434546133
oct1061270034
9336810430
10147157020
117608027a
1241348390
1324644b7a
141578891a
15cdbc130
hex8c5701c

147157020 has 96 divisors (see below), whose sum is σ = 473659200. Its totient is φ = 37884672.

The previous prime is 147157009. The next prime is 147157039. The reversal of 147157020 is 20751741.

147157020 is a `hidden beast` number, since 1 + 4 + 71 + 570 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10962 + ... + 20358.

It is an arithmetic number, because the mean of its divisors is an integer number (4933950).

Almost surely, 2147157020 is an apocalyptic number.

147157020 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 147157020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236829600).

147157020 is an abundant number, since it is smaller than the sum of its proper divisors (326502180).

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

147157020 is a wasteful number, since it uses less digits than its factorization.

147157020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9444 (or 9436 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 147157020 is about 12130.8293203721. The cubic root of 147157020 is about 527.9510543472.

The spelling of 147157020 in words is "one hundred forty-seven million, one hundred fifty-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 261 270 290 348 435 522 540 580 783 870 1044 1305 1566 1740 2610 3132 3915 5220 7830 9397 15660 18794 28191 37588 46985 56382 84573 93970 112764 140955 169146 187940 253719 272513 281910 338292 422865 507438 545026 563820 817539 845730 1014876 1090052 1268595 1362565 1635078 1691460 2452617 2537190 2725130 3270156 4087695 4905234 5074380 5450260 7357851 8175390 9810468 12263085 14715702 16350780 24526170 29431404 36789255 49052340 73578510 147157020