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1036464420 = 223541616907
BaseRepresentation
bin111101110001110…
…011000100100100
32200020021211220010
4331301303010210
54110313330140
6250503010220
734453542105
oct7561630444
92606254803
101036464420
1149206a072
1224b139970
13136966674
149b9203ac
1560ed5880
hex3dc73124

1036464420 has 96 divisors (see below), whose sum is σ = 3022056576. Its totient is φ = 265190400.

The previous prime is 1036464419. The next prime is 1036464427. The reversal of 1036464420 is 244646301.

1036464420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1036464427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146607 + ... + 153513.

It is an arithmetic number, because the mean of its divisors is an integer number (31479756).

Almost surely, 21036464420 is an apocalyptic number.

1036464420 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 1036464420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511028288).

1036464420 is an abundant number, since it is smaller than the sum of its proper divisors (1985592156).

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

1036464420 is a wasteful number, since it uses less digits than its factorization.

1036464420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7021 (or 7019 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 1036464420 is about 32194.1674841888. The cubic root of 1036464420 is about 1012.0099893820.

The spelling of 1036464420 in words is "one billion, thirty-six million, four hundred sixty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 61 82 122 123 164 183 205 244 246 305 366 410 492 610 615 732 820 915 1220 1230 1830 2460 2501 3660 5002 6907 7503 10004 12505 13814 15006 20721 25010 27628 30012 34535 37515 41442 50020 69070 75030 82884 103605 138140 150060 207210 283187 414420 421327 566374 842654 849561 1132748 1263981 1415935 1685308 1699122 2106635 2527962 2831870 3398244 4213270 4247805 5055924 5663740 6319905 8426540 8495610 12639810 16991220 17274407 25279620 34548814 51823221 69097628 86372035 103646442 172744070 207292884 259116105 345488140 518232210 1036464420