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1011394720 = 25572931139
BaseRepresentation
bin111100010010001…
…010100010100000
32121111010011201201
4330102022202200
54032404112340
6244205410544
734030466440
oct7422124240
92544104651
101011394720
114799a6906
12242869a54
131316c981b
1498476120
155dbd279a
hex3c48a8a0

1011394720 has 96 divisors (see below), whose sum is σ = 2825020800. Its totient is φ = 334795776.

The previous prime is 1011394717. The next prime is 1011394721. The reversal of 1011394720 is 274931101.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1011394721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16911 + ... + 48049.

It is an arithmetic number, because the mean of its divisors is an integer number (29427300).

Almost surely, 21011394720 is an apocalyptic number.

1011394720 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 1011394720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412510400).

1011394720 is an abundant number, since it is smaller than the sum of its proper divisors (1813626080).

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

1011394720 is a wasteful number, since it uses less digits than its factorization.

1011394720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31190 (or 31182 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 1011394720 is about 31802.4326113585. The cubic root of 1011394720 is about 1003.7839040112.

The spelling of 1011394720 in words is "one billion, eleven million, three hundred ninety-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 70 80 112 116 140 145 160 203 224 232 280 290 406 464 560 580 812 928 1015 1120 1160 1624 2030 2320 3248 4060 4640 6496 8120 16240 31139 32480 62278 124556 155695 217973 249112 311390 435946 498224 622780 871892 903031 996448 1089865 1245560 1743784 1806062 2179730 2491120 3487568 3612124 4359460 4515155 4982240 6321217 6975136 7224248 8718920 9030310 12642434 14448496 17437840 18060620 25284868 28896992 31606085 34875680 36121240 50569736 63212170 72242480 101139472 126424340 144484960 202278944 252848680 505697360 1011394720