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20400130530 = 23351315673709
BaseRepresentation
bin10010111111111100…
…010100100111100010
31221122201110000011000
4102333330110213202
5313234413134110
613212141332430
71321351151133
oct227774244742
957581400130
1020400130530
11871938400a
123b53b67116
131c01563770
14db74c1c8a
157e5e581c0
hex4bff149e2

20400130530 has 128 divisors (see below), whose sum is σ = 58638182400. Its totient is φ = 5017012992.

The previous prime is 20400130529. The next prime is 20400130571. The reversal of 20400130530 is 3503100402.

20400130530 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 0 + 130 + 530 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5498316 + ... + 5502024.

It is an arithmetic number, because the mean of its divisors is an integer number (458110800).

Almost surely, 220400130530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20400130530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29319091200).

20400130530 is an abundant number, since it is smaller than the sum of its proper divisors (38238051870).

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

20400130530 is a wasteful number, since it uses less digits than its factorization.

20400130530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5305 (or 5299 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 20400130530 its reverse (3503100402), we get a palindrome (23903230932).

The spelling of 20400130530 in words is "twenty billion, four hundred million, one hundred thirty thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1567 1755 3134 3510 3709 4701 7418 7835 9402 11127 14103 15670 18545 20371 22254 23505 28206 33381 37090 40742 42309 47010 48217 55635 61113 66762 70515 84618 96434 100143 101855 111270 122226 141030 144651 166905 183339 200286 203710 211545 241085 289302 305565 333810 366678 423090 433953 482170 500715 550017 611130 723255 867906 916695 1001430 1100034 1301859 1446510 1833390 2169765 2603718 2750085 4339530 5500170 5812003 6509295 11624006 13018590 17436009 29060015 34872018 52308027 58120030 75556039 87180045 104616054 151112078 156924081 174360090 226668117 261540135 313848162 377780195 453336234 523080270 680004351 755560390 784620405 1133340585 1360008702 1569240810 2040013053 2266681170 3400021755 4080026106 6800043510 10200065265 20400130530