Search a number
-
+
157241420 = 22572115323
BaseRepresentation
bin10010101111101…
…01000001001100
3101221212200200022
421113311001030
5310223211140
623334121312
73616346540
oct1127650114
9357780608
10157241420
1180838896
12447b0238
1326765c7b
1416c51a20
15dc100b5
hex95f504c

157241420 has 48 divisors (see below), whose sum is σ = 379239168. Its totient is φ = 53645760.

The previous prime is 157241419. The next prime is 157241423. The reversal of 157241420 is 24142751.

It is a self number, because there is not a number n which added to its sum of digits gives 157241420.

It is not an unprimeable number, because it can be changed into a prime (157241423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26879 + ... + 32201.

It is an arithmetic number, because the mean of its divisors is an integer number (7900816).

Almost surely, 2157241420 is an apocalyptic number.

157241420 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 157241420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189619584).

157241420 is an abundant number, since it is smaller than the sum of its proper divisors (221997748).

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

157241420 is a wasteful number, since it uses less digits than its factorization.

157241420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5550 (or 5548 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 157241420 is about 12539.5940923142. The cubic root of 157241420 is about 539.7454447223.

The spelling of 157241420 in words is "one hundred fifty-seven million, two hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 211 422 844 1055 1477 2110 2954 4220 5323 5908 7385 10646 14770 21292 26615 29540 37261 53230 74522 106460 149044 186305 372610 745220 1123153 2246306 4492612 5615765 7862071 11231530 15724142 22463060 31448284 39310355 78620710 157241420