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9420377040 = 2432513083857
BaseRepresentation
bin10001100010111111…
…11000101111010000
3220022112002201220100
420301133320233100
5123243104031130
64154435212400
7452305612044
oct106137705720
926275081810
109420377040
113aa4614778
1219aaa47100
13b718a77c9
146551a2024
153a2067c60
hex2317f8bd0

9420377040 has 60 divisors (see below), whose sum is σ = 31636768644. Its totient is φ = 2512100352.

The previous prime is 9420376967. The next prime is 9420377047. The reversal of 9420377040 is 407730249.

It can be written as a sum of positive squares in 2 ways, for example, as 1017354816 + 8403022224 = 31896^2 + 91668^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9420376986 and 9420377004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9420377047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6541209 + ... + 6542648.

Almost surely, 29420377040 is an apocalyptic number.

9420377040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9420377040 is an abundant number, since it is smaller than the sum of its proper divisors (22216391604).

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

9420377040 is a wasteful number, since it uses less digits than its factorization.

9420377040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13083876 (or 13083867 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 9420377040 is about 97058.6268190520. The cubic root of 9420377040 is about 2111.9781871886.

The spelling of 9420377040 in words is "nine billion, four hundred twenty million, three hundred seventy-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 13083857 26167714 39251571 52335428 65419285 78503142 104670856 117754713 130838570 157006284 196257855 209341712 235509426 261677140 314012568 392515710 471018852 523354280 588773565 628025136 785031420 942037704 1046708560 1177547130 1570062840 1884075408 2355094260 3140125680 4710188520 9420377040