Search a number
-
+
1157050500 = 223531037489
BaseRepresentation
bin100010011110111…
…0011000010000100
32222122012020220020
41010331303002010
54332201104000
6310451335140
740446524034
oct10475630204
92878166806
101157050500
11544141191
122835b14b0
13155937288
14ad94d8c4
156b8a4ba0
hex44f73084

1157050500 has 96 divisors (see below), whose sum is σ = 3402497280. Its totient is φ = 305510400.

The previous prime is 1157050487. The next prime is 1157050589. The reversal of 1157050500 is 50507511.

1157050500 = T4240 + T4241 + ... + T4364.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 150756 + ... + 158244.

It is an arithmetic number, because the mean of its divisors is an integer number (35442680).

Almost surely, 21157050500 is an apocalyptic number.

1157050500 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 1157050500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701248640).

1157050500 is an abundant number, since it is smaller than the sum of its proper divisors (2245446780).

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

1157050500 is a wasteful number, since it uses less digits than its factorization.

1157050500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7614 (or 7602 counting only the distinct ones).

The product of its (nonzero) digits is 875, while the sum is 24.

The square root of 1157050500 is about 34015.4450213429. The cubic root of 1157050500 is about 1049.8262751133.

The spelling of 1157050500 in words is "one billion, one hundred fifty-seven million, fifty thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 103 125 150 206 250 300 309 375 412 500 515 618 750 1030 1236 1500 1545 2060 2575 3090 5150 6180 7489 7725 10300 12875 14978 15450 22467 25750 29956 30900 37445 38625 44934 51500 74890 77250 89868 112335 149780 154500 187225 224670 374450 449340 561675 748900 771367 936125 1123350 1542734 1872250 2246700 2314101 2808375 3085468 3744500 3856835 4628202 5616750 7713670 9256404 11233500 11570505 15427340 19284175 23141010 38568350 46282020 57852525 77136700 96420875 115705050 192841750 231410100 289262625 385683500 578525250 1157050500