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1002990468 = 2231941910499
BaseRepresentation
bin111011110010000…
…110101110000100
32120220022012021010
4323302012232010
54023231143333
6243305322220
733566164314
oct7362065604
92526265233
101002990468
11475186647
1223ba96370
1312ca463ac
14972c9444
155d0c2563
hex3bc86b84

1002990468 has 48 divisors (see below), whose sum is σ = 2469600000. Its totient is φ = 315947808.

The previous prime is 1002990419. The next prime is 1002990473. The reversal of 1002990468 is 8640992001.

1002990468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90283 + ... + 100781.

It is an arithmetic number, because the mean of its divisors is an integer number (51450000).

Almost surely, 21002990468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002990468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234800000).

1002990468 is an abundant number, since it is smaller than the sum of its proper divisors (1466609532).

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

1002990468 is a wasteful number, since it uses less digits than its factorization.

1002990468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10944 (or 10942 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 1002990468 is about 31670.0247552792. The cubic root of 1002990468 is about 1000.9958306588.

The spelling of 1002990468 in words is "one billion, two million, nine hundred ninety thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 419 838 1257 1676 2514 5028 7961 10499 15922 20998 23883 31497 31844 41996 47766 62994 95532 125988 199481 398962 598443 797924 1196886 2393772 4399081 8798162 13197243 17596324 26394486 52788972 83582539 167165078 250747617 334330156 501495234 1002990468