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20432554140 = 2235895037607
BaseRepresentation
bin10011000001111000…
…000000100010011100
31221201222110021222110
4103001320000202130
5313321213213030
613215300314020
71322223562455
oct230170004234
957658407873
1020432554140
11873570a389
123b629a2910
131c081a692b
14dbb92212c
157e8c101b0
hex4c1e0089c

20432554140 has 96 divisors (see below), whose sum is σ = 57976611840. Its totient is φ = 5376042496.

The previous prime is 20432554127. The next prime is 20432554169. The reversal of 20432554140 is 4145523402.

It is a super-2 number, since 2×204325541402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20432554098 and 20432554107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2682217 + ... + 2689823.

It is an arithmetic number, because the mean of its divisors is an integer number (603923040).

Almost surely, 220432554140 is an apocalyptic number.

20432554140 is a gapful number since it is divisible by the number (20) 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 20432554140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28988305920).

20432554140 is an abundant number, since it is smaller than the sum of its proper divisors (37544057700).

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

20432554140 is a wasteful number, since it uses less digits than its factorization.

20432554140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8211 (or 8209 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 20432554140 in words is "twenty billion, four hundred thirty-two million, five hundred fifty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 267 356 445 503 534 890 1006 1068 1335 1509 1780 2012 2515 2670 3018 5030 5340 6036 7545 7607 10060 15090 15214 22821 30180 30428 38035 44767 45642 76070 89534 91284 114105 134301 152140 179068 223835 228210 268602 447670 456420 537204 671505 677023 895340 1343010 1354046 2031069 2686020 2708092 3385115 3826321 4062138 6770230 7652642 8124276 10155345 11478963 13540460 15305284 19131605 20310690 22957926 38263210 40621380 45915852 57394815 76526420 114789630 229579260 340542569 681085138 1021627707 1362170276 1702712845 2043255414 3405425690 4086510828 5108138535 6810851380 10216277070 20432554140