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157952130 = 235719311277
BaseRepresentation
bin10010110101000…
…10100010000010
3102000012210120220
421122202202002
5310413432010
623401243510
73625366560
oct1132424202
9360183526
10157952130
1181183856
1244a93596
13269545cb
1416d98a30
15dd00970
hex96a2882

157952130 has 128 divisors (see below), whose sum is σ = 471121920. Its totient is φ = 33073920.

The previous prime is 157952129. The next prime is 157952147. The reversal of 157952130 is 31259751.

It is a junction number, because it is equal to n+sod(n) for n = 157952091 and 157952100.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123052 + ... + 124328.

It is an arithmetic number, because the mean of its divisors is an integer number (3680640).

Almost surely, 2157952130 is an apocalyptic number.

157952130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 157952130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235560960).

157952130 is an abundant number, since it is smaller than the sum of its proper divisors (313169790).

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

157952130 is a wasteful number, since it uses less digits than its factorization.

157952130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344.

The product of its (nonzero) digits is 9450, while the sum is 33.

The square root of 157952130 is about 12567.9007793665. The cubic root of 157952130 is about 540.5574148086.

The spelling of 157952130 in words is "one hundred fifty-seven million, nine hundred fifty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 31 35 38 42 57 62 70 93 95 105 114 133 155 186 190 210 217 266 285 310 399 434 465 570 589 651 665 798 930 1085 1178 1277 1302 1330 1767 1995 2170 2554 2945 3255 3534 3831 3990 4123 5890 6385 6510 7662 8246 8835 8939 12369 12770 17670 17878 19155 20615 24263 24738 26817 38310 39587 41230 44695 48526 53634 61845 72789 79174 89390 118761 121315 123690 134085 145578 169841 197935 237522 242630 268170 277109 339682 363945 395870 509523 554218 593805 727890 752153 831327 849205 1019046 1187610 1385545 1504306 1662654 1698410 2256459 2547615 2771090 3760765 4156635 4512918 5095230 5265071 7521530 8313270 10530142 11282295 15795213 22564590 26325355 31590426 52650710 78976065 157952130