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142746604 = 227211213463
BaseRepresentation
bin10001000001000…
…10001111101100
3100221121021112021
420200202033230
5243020342404
622055315524
73352216600
oct1040421754
9327537467
10142746604
1173638700
123b97bba4
132375c560
1414d5b500
15c7ea454
hex88223ec

142746604 has 108 divisors (see below), whose sum is σ = 344723232. Its totient is φ = 51226560.

The previous prime is 142746589. The next prime is 142746607. The reversal of 142746604 is 406647241.

It is a self number, because there is not a number n which added to its sum of digits gives 142746604.

It is not an unprimeable number, because it can be changed into a prime (142746607) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 308077 + ... + 308539.

Almost surely, 2142746604 is an apocalyptic number.

142746604 is a gapful number since it is divisible by the number (14) 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 142746604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172361616).

142746604 is an abundant number, since it is smaller than the sum of its proper divisors (201976628).

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

142746604 is a wasteful number, since it uses less digits than its factorization.

142746604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 142746604 is about 11947.6610263264. The cubic root of 142746604 is about 522.6230919597.

The spelling of 142746604 in words is "one hundred forty-two million, seven hundred forty-six thousand, six hundred four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 121 143 154 182 196 242 286 308 364 463 484 539 572 637 847 926 1001 1078 1274 1573 1694 1852 2002 2156 2548 3146 3241 3388 4004 5093 5929 6019 6292 6482 7007 10186 11011 11858 12038 12964 14014 20372 22022 22687 23716 24076 28028 35651 42133 44044 45374 56023 66209 71302 77077 84266 90748 112046 132418 142604 154154 168532 224092 249557 264836 294931 308308 392161 463463 499114 589862 728299 784322 926926 998228 1179724 1456598 1568644 1853852 2745127 2913196 3244241 5098093 5490254 6488482 10196186 10980508 12976964 20392372 35686651 71373302 142746604