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4326514140 = 22351315313623
BaseRepresentation
bin1000000011110000…
…10101110111011100
3102011112002200122110
410001320111313130
532330041423030
61553152114020
7212133522564
oct40170256734
912145080573
104326514140
111920228123
12a08b35910
1353c473950
142d0869da4
151a4c701b0
hex101e15ddc

4326514140 has 96 divisors (see below), whose sum is σ = 13058228736. Its totient is φ = 1063998720.

The previous prime is 4326514117. The next prime is 4326514169. The reversal of 4326514140 is 414156234.

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 = 4326514098 and 4326514107.

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, 1192369 + ... + 1195991.

It is an arithmetic number, because the mean of its divisors is an integer number (136023216).

Almost surely, 24326514140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4326514140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6529114368).

4326514140 is an abundant number, since it is smaller than the sum of its proper divisors (8731714596).

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

4326514140 is a wasteful number, since it uses less digits than its factorization.

4326514140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5179 (or 5177 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 4326514140 is about 65776.2429757127. The cubic root of 4326514140 is about 1629.4687744099.

The spelling of 4326514140 in words is "four billion, three hundred twenty-six million, five hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1531 3062 3623 4593 6124 7246 7655 9186 10869 14492 15310 18115 18372 19903 21738 22965 30620 36230 39806 43476 45930 47099 54345 59709 72460 79612 91860 94198 99515 108690 119418 141297 188396 199030 217380 235495 238836 282594 298545 398060 470990 565188 597090 706485 941980 1194180 1412970 2825940 5546813 11093626 16640439 22187252 27734065 33280878 55468130 66561756 72108569 83202195 110936260 144217138 166404390 216325707 288434276 332808780 360542845 432651414 721085690 865302828 1081628535 1442171380 2163257070 4326514140