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2154150440 = 2351317923143
BaseRepresentation
bin1000000001100101…
…1011101000101000
312120010102011212122
42000121123220220
513402430303230
6553430530412
7104244655661
oct20031335050
95503364778
102154150440
11a05a64122
12501506a08
1328439a440
14166144368
15c91b1be5
hex8065ba28

2154150440 has 64 divisors (see below), whose sum is σ = 5249059200. Its totient is φ = 790900992.

The previous prime is 2154150419. The next prime is 2154150463. The reversal of 2154150440 is 440514512.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81509 + ... + 104651.

It is an arithmetic number, because the mean of its divisors is an integer number (82016550).

Almost surely, 22154150440 is an apocalyptic number.

2154150440 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 2154150440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624529600).

2154150440 is an abundant number, since it is smaller than the sum of its proper divisors (3094908760).

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

2154150440 is a wasteful number, since it uses less digits than its factorization.

2154150440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23346 (or 23342 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 2154150440 is about 46412.8262444769. The cubic root of 2154150440 is about 1291.4928613776.

Adding to 2154150440 its reverse (440514512), we get a palindrome (2594664952).

The spelling of 2154150440 in words is "two billion, one hundred fifty-four million, one hundred fifty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 179 260 358 520 716 895 1432 1790 2327 3580 4654 7160 9308 11635 18616 23143 23270 46286 46540 92572 93080 115715 185144 231430 300859 462860 601718 925720 1203436 1504295 2406872 3008590 4142597 6017180 8285194 12034360 16570388 20712985 33140776 41425970 53853761 82851940 107707522 165703880 215415044 269268805 430830088 538537610 1077075220 2154150440