Search a number
-
+
1557752140 = 225724333671
BaseRepresentation
bin101110011011001…
…0110100101001100
311000120012000012201
41130312112211030
511142241032030
6414324011244
753413450300
oct13466264514
94016160181
101557752140
1172a34626a
12375830b24
131ba963039
1410ac57d00
1591b562ca
hex5cd9694c

1557752140 has 72 divisors (see below), whose sum is σ = 3815193312. Its totient is φ = 532707840.

The previous prime is 1557752129. The next prime is 1557752153. The reversal of 1557752140 is 412577551.

It is a self number, because there is not a number n which added to its sum of digits gives 1557752140.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 422505 + ... + 426175.

It is an arithmetic number, because the mean of its divisors is an integer number (52988796).

Almost surely, 21557752140 is an apocalyptic number.

1557752140 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 1557752140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907596656).

1557752140 is an abundant number, since it is smaller than the sum of its proper divisors (2257441172).

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

1557752140 is a wasteful number, since it uses less digits than its factorization.

1557752140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4127 (or 4118 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 37.

The square root of 1557752140 is about 39468.3688540583. The cubic root of 1557752140 is about 1159.2206765042.

The spelling of 1557752140 in words is "one billion, five hundred fifty-seven million, seven hundred fifty-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 433 490 866 980 1732 2165 3031 3671 4330 6062 7342 8660 12124 14684 15155 18355 21217 25697 30310 36710 42434 51394 60620 73420 84868 102788 106085 128485 179879 212170 256970 359758 424340 513940 719516 899395 1589543 1798790 3179086 3597580 6358172 7947715 11126801 15895430 22253602 31790860 44507204 55634005 77887607 111268010 155775214 222536020 311550428 389438035 778876070 1557752140