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1000883140 = 225193497547
BaseRepresentation
bin111011101010000…
…100001111000100
32120202100010112221
4323222010033010
54022211230030
6243152222124
733542236435
oct7352041704
92522303487
101000883140
11473a77354
1223b23a944
1312c48915a
1496cdb48c
155cd07e7a
hex3ba843c4

1000883140 has 48 divisors (see below), whose sum is σ = 2219112000. Its totient is φ = 378145152.

The previous prime is 1000883101. The next prime is 1000883141. The reversal of 1000883140 is 413880001.

It is not an unprimeable number, because it can be changed into a prime (1000883141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128847 + ... + 136393.

It is an arithmetic number, because the mean of its divisors is an integer number (46231500).

Almost surely, 21000883140 is an apocalyptic number.

1000883140 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 1000883140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109556000).

1000883140 is an abundant number, since it is smaller than the sum of its proper divisors (1218228860).

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

1000883140 is a wasteful number, since it uses less digits than its factorization.

1000883140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7924 (or 7922 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 1000883140 is about 31636.7371895396. The cubic root of 1000883140 is about 1000.2942933829.

The spelling of 1000883140 in words is "one billion, eight hundred eighty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 349 380 698 1396 1745 3490 6631 6980 7547 13262 15094 26524 30188 33155 37735 66310 75470 132620 143393 150940 286786 573572 716965 1433930 2633903 2867860 5267806 10535612 13169515 26339030 50044157 52678060 100088314 200176628 250220785 500441570 1000883140