Search a number
-
+
157052142 = 233132371137
BaseRepresentation
bin10010101110001…
…10110011101110
3101221112002001000
421113012303232
5310201132032
623330101130
73614630652
oct1127066356
9357462030
10157052142
1180719665
124471a7a6
13266caa80
1416c02a62
15dbc3e7c
hex95c6cee

157052142 has 128 divisors (see below), whose sum is σ = 400619520. Its totient is φ = 45239040.

The previous prime is 157052141. The next prime is 157052149. The reversal of 157052142 is 241250751.

157052142 is a `hidden beast` number, since 1 + 570 + 52 + 1 + 42 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157052141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1146298 + ... + 1146434.

It is an arithmetic number, because the mean of its divisors is an integer number (3129840).

Almost surely, 2157052142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157052142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200309760).

157052142 is an abundant number, since it is smaller than the sum of its proper divisors (243567378).

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

157052142 is a wasteful number, since it uses less digits than its factorization.

157052142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 157052142 is about 12532.0446057297. The cubic root of 157052142 is about 539.5287864612.

The spelling of 157052142 in words is "one hundred fifty-seven million, fifty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 46 54 69 71 78 117 137 138 142 207 213 234 274 299 351 411 414 426 598 621 639 702 822 897 923 1233 1242 1278 1633 1781 1794 1846 1917 2466 2691 2769 3151 3266 3562 3699 3834 4899 5343 5382 5538 6302 7398 8073 8307 9453 9727 9798 10686 14697 16029 16146 16614 18906 19454 21229 24921 28359 29181 29394 32058 40963 42458 44091 48087 49842 56718 58362 63687 81926 85077 87543 88182 96174 122889 126451 127374 170154 175086 191061 223721 245778 252902 262629 368667 379353 382122 447442 525258 573183 671163 737334 758706 1106001 1138059 1146366 1342326 2013489 2212002 2276118 2908373 3414177 4026978 5816746 6040467 6828354 8725119 12080934 17450238 26175357 52350714 78526071 157052142