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1021602816 = 21032138527
BaseRepresentation
bin111100111001000…
…110110000000000
32122012022210121100
4330321012300000
54043012242231
6245212254400
734213323603
oct7471066000
92565283540
101021602816
11484739353
12246171400
13133862010
149997233a
155ea4c1e6
hex3ce46c00

1021602816 has 132 divisors (see below), whose sum is σ = 3177140512. Its totient is φ = 314302464.

The previous prime is 1021602793. The next prime is 1021602839. The reversal of 1021602816 is 6182061201.

It is an interprime number because it is at equal distance from previous prime (1021602793) and next prime (1021602839).

It is a self number, because there is not a number n which added to its sum of digits gives 1021602816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115545 + ... + 124071.

Almost surely, 21021602816 is an apocalyptic number.

1021602816 is a gapful number since it is divisible by the number (16) 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 1021602816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588570256).

1021602816 is an abundant number, since it is smaller than the sum of its proper divisors (2155537696).

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

1021602816 is a wasteful number, since it uses less digits than its factorization.

1021602816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8566 (or 8545 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1021602816 is about 31962.5220531797. The cubic root of 1021602816 is about 1007.1496986493.

It can be divided in two parts, 102160 and 2816, that added together give a 4-th power (104976 = 184).

The spelling of 1021602816 in words is "one billion, twenty-one million, six hundred two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1872 2304 2496 3072 3328 3744 4608 4992 6656 7488 8527 9216 9984 13312 14976 17054 19968 25581 29952 34108 39936 51162 59904 68216 76743 102324 110851 119808 136432 153486 204648 221702 272864 306972 332553 409296 443404 545728 613944 665106 818592 886808 997659 1091456 1227888 1330212 1637184 1773616 1995318 2182912 2455776 2660424 3274368 3547232 3990636 4365824 4911552 5320848 6548736 7094464 7981272 8731648 9823104 10641696 13097472 14188928 15962544 19646208 21283392 26194944 28377856 31925088 39292416 42566784 56755712 63850176 78584832 85133568 113511424 127700352 170267136 255400704 340534272 510801408 1021602816