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10406015220 = 2235674096329
BaseRepresentation
bin10011011000011111…
…10011000011110100
3222212012202100022010
421230033303003310
5132302414441340
64440325004220
7515604445536
oct115417630364
928765670263
1010406015220
11445aa19287
122024b53670
13c9ab56973
1470a051856
1540d85db80
hex26c3f30f4

10406015220 has 96 divisors (see below), whose sum is σ = 29648707200. Its totient is φ = 2726406144.

The previous prime is 10406015167. The next prime is 10406015233. The reversal of 10406015220 is 2251060401.

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, 1641016 + ... + 1647344.

It is an arithmetic number, because the mean of its divisors is an integer number (308840700).

Almost surely, 210406015220 is an apocalyptic number.

10406015220 is a gapful number since it is divisible by the number (10) 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 10406015220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14824353600).

10406015220 is an abundant number, since it is smaller than the sum of its proper divisors (19242691980).

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

10406015220 is a wasteful number, since it uses less digits than its factorization.

10406015220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6817 (or 6815 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 10406015220 its reverse (2251060401), we get a palindrome (12657075621).

The spelling of 10406015220 in words is "ten billion, four hundred six million, fifteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 409 670 804 818 1005 1227 1340 1636 2010 2045 2454 4020 4090 4908 6135 6329 8180 12270 12658 18987 24540 25316 27403 31645 37974 54806 63290 75948 82209 94935 109612 126580 137015 164418 189870 274030 328836 379740 411045 424043 548060 822090 848086 1272129 1644180 1696172 2120215 2544258 2588561 4240430 5088516 5177122 6360645 7765683 8480860 10354244 12721290 12942805 15531366 25442580 25885610 31062732 38828415 51771220 77656830 155313660 173433587 346867174 520300761 693734348 867167935 1040601522 1734335870 2081203044 2601503805 3468671740 5203007610 10406015220