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10621079040 = 2935111319509
BaseRepresentation
bin10011110010001000…
…01100111000000000
31000102012102201101210
421321010030320000
5133222444012130
64513530330120
7524125453005
oct117104147000
930365381353
1010621079040
11456035a980
122084b89940
131003586670
1472a8358ac
154226915b0
hex27910ce00

10621079040 has 640 divisors, whose sum is σ = 42072307200. Its totient is φ = 2247229440.

The previous prime is 10621078997. The next prime is 10621079087. The reversal of 10621079040 is 4097012601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×106210790402 (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 = 10621078989 and 10621079007.

It is a congruent number.

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, 20866306 + ... + 20866814.

It is an arithmetic number, because the mean of its divisors is an integer number (65737980).

Almost surely, 210621079040 is an apocalyptic number.

10621079040 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 10621079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21036153600).

10621079040 is an abundant number, since it is smaller than the sum of its proper divisors (31451228160).

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

10621079040 is a wasteful number, since it uses less digits than its factorization.

10621079040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The spelling of 10621079040 in words is "ten billion, six hundred twenty-one million, seventy-nine thousand, forty".