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147052136 = 23721167509
BaseRepresentation
bin10001100001111…
…01011001101000
3101020201000121102
420300331121220
5300121132021
622331500532
73433631300
oct1060753150
9336630542
10147052136
11760094a0
12412b7748
13246091ca
141575c600
15cd9b00b
hex8c3d668

147052136 has 96 divisors (see below), whose sum is σ = 355816800. Its totient is φ = 56327040.

The previous prime is 147052111. The next prime is 147052141. The reversal of 147052136 is 631250741.

It is a junction number, because it is equal to n+sod(n) for n = 147052099 and 147052108.

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 23 ways as a sum of consecutive naturals, for example, 288650 + ... + 289158.

It is an arithmetic number, because the mean of its divisors is an integer number (3706425).

Almost surely, 2147052136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147052136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177908400).

147052136 is an abundant number, since it is smaller than the sum of its proper divisors (208764664).

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

147052136 is a wasteful number, since it uses less digits than its factorization.

147052136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 147052136 is about 12126.5055147804. The cubic root of 147052136 is about 527.8255947549.

The spelling of 147052136 in words is "one hundred forty-seven million, fifty-two thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 67 77 88 98 134 154 196 268 308 392 469 509 536 539 616 737 938 1018 1078 1474 1876 2036 2156 2948 3283 3563 3752 4072 4312 5159 5599 5896 6566 7126 10318 11198 13132 14252 20636 22396 24941 26264 28504 34103 36113 39193 41272 44792 49882 68206 72226 78386 99764 136412 144452 156772 199528 238721 272824 274351 288904 313544 375133 477442 548702 750266 954884 1097404 1500532 1671047 1909768 2194808 2625931 3001064 3342094 5251862 6684188 10503724 13368376 18381517 21007448 36763034 73526068 147052136