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5330460100 = 2252741492
BaseRepresentation
bin1001111011011100…
…00101110111000100
3111202111012102121011
410331232011313010
541404044210400
62240534132004
7246044110000
oct47556056704
914674172534
105330460100
1122959a6629
1210491b1004
1366c462c04
14387d23700
15212e808ba
hex13db85dc4

5330460100 has 135 divisors (see below), whose sum is σ = 13585317767. Its totient is φ = 1815320640.

The previous prime is 5330460071. The next prime is 5330460103. The reversal of 5330460100 is 10640335.

The square root of 5330460100 is 73010.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1590892996 + 3739567104 = 39886^2 + 61152^2 .

It is not an unprimeable number, because it can be changed into a prime (5330460103) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 35774826 + ... + 35774974.

Almost surely, 25330460100 is an apocalyptic number.

5330460100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5330460100 is the 73010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5330460100

5330460100 is an abundant number, since it is smaller than the sum of its proper divisors (8254857667).

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

5330460100 is an equidigital number, since it uses as much as digits as its factorization.

5330460100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The cubic root of 5330460100 is about 1746.8471230496.

The spelling of 5330460100 in words is "five billion, three hundred thirty million, four hundred sixty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 149 175 196 245 298 343 350 490 596 686 700 745 980 1043 1225 1372 1490 1715 2086 2401 2450 2980 3430 3725 4172 4802 4900 5215 6860 7301 7450 8575 9604 10430 12005 14602 14900 17150 20860 22201 24010 26075 29204 34300 36505 44402 48020 51107 52150 60025 73010 88804 102214 104300 111005 120050 146020 155407 182525 204428 222010 240100 255535 310814 357749 365050 444020 511070 555025 621628 715498 730100 777035 1022140 1087849 1110050 1277675 1430996 1554070 1788745 2175698 2220100 2555350 3108140 3577490 3885175 4351396 5110700 5439245 7154980 7614943 7770350 8943725 10878490 15229886 15540700 17887450 21756980 27196225 30459772 35774900 38074715 53304601 54392450 76149430 106609202 108784900 152298860 190373575 213218404 266523005 380747150 533046010 761494300 1066092020 1332615025 2665230050 5330460100