Search a number
-
+
157484940 = 2235171031499
BaseRepresentation
bin10010110001100…
…00011110001100
3101222100001201120
421120300132030
5310304004230
623343240540
73621412524
oct1130603614
9358301646
10157484940
1180994848
12448a9150
132681ca72
1416cb6684
15dc5c310
hex963078c

157484940 has 96 divisors (see below), whose sum is σ = 471744000. Its totient is φ = 39115776.

The previous prime is 157484927. The next prime is 157484941. The reversal of 157484940 is 49484751.

It is a junction number, because it is equal to n+sod(n) for n = 157484892 and 157484901.

It is not an unprimeable number, because it can be changed into a prime (157484941) 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, 104311 + ... + 105809.

It is an arithmetic number, because the mean of its divisors is an integer number (4914000).

Almost surely, 2157484940 is an apocalyptic number.

157484940 is a gapful number since it is divisible by the number (10) 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 157484940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872000).

157484940 is an abundant number, since it is smaller than the sum of its proper divisors (314259060).

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

157484940 is a wasteful number, since it uses less digits than its factorization.

157484940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 157484940 is about 12549.3003789056. The cubic root of 157484940 is about 540.0239358389.

The spelling of 157484940 in words is "one hundred fifty-seven million, four hundred eighty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 103 170 204 206 255 309 340 412 510 515 618 1020 1030 1236 1499 1545 1751 2060 2998 3090 3502 4497 5253 5996 6180 7004 7495 8755 8994 10506 14990 17510 17988 21012 22485 25483 26265 29980 35020 44970 50966 52530 76449 89940 101932 105060 127415 152898 154397 254830 305796 308794 382245 463191 509660 617588 764490 771985 926382 1528980 1543970 1852764 2315955 2624749 3087940 4631910 5249498 7874247 9263820 10498996 13123745 15748494 26247490 31496988 39371235 52494980 78742470 157484940