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142967172 = 2231923137199
BaseRepresentation
bin10001000010110…
…00000110000100
3100222000111002110
420201120012010
5243044422142
622104141020
73354125625
oct1041300604
9328014073
10142967172
1173779397
123ba67770
1323808a7a
1414db7a4c
15c84099c
hex8858184

142967172 has 96 divisors (see below), whose sum is σ = 370944000. Its totient is φ = 42653952.

The previous prime is 142967147. The next prime is 142967173. The reversal of 142967172 is 271769241.

It is a super-2 number, since 2×1429671722 = 40879224539355168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 142967172.

It is not an unprimeable number, because it can be changed into a prime (142967173) 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, 718329 + ... + 718527.

It is an arithmetic number, because the mean of its divisors is an integer number (3864000).

Almost surely, 2142967172 is an apocalyptic number.

142967172 is a gapful number since it is divisible by the number (12) 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 142967172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185472000).

142967172 is an abundant number, since it is smaller than the sum of its proper divisors (227976828).

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

142967172 is a wasteful number, since it uses less digits than its factorization.

142967172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 383 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 142967172 is about 11956.8880566810. Note that the first 3 decimals coincide. The cubic root of 142967172 is about 522.8921342233.

The spelling of 142967172 in words is "one hundred forty-two million, nine hundred sixty-seven thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 137 138 199 228 274 276 398 411 437 548 597 796 822 874 1194 1311 1644 1748 2388 2603 2622 3151 3781 4577 5206 5244 6302 7562 7809 9154 9453 10412 11343 12604 13731 15124 15618 18308 18906 22686 27263 27462 31236 37812 45372 54526 54924 59869 81789 86963 109052 119738 163578 173926 179607 239476 260889 327156 347852 359214 517997 521778 627049 718428 1035994 1043556 1254098 1553991 1881147 2071988 2508196 3107982 3762294 6215964 7524588 11913931 23827862 35741793 47655724 71483586 142967172