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1012491680 = 25537171029
BaseRepresentation
bin111100010110010…
…110010110100000
32121120011220110212
4330112112112200
54033144213210
6244245113252
734043015534
oct7426262640
92546156425
101012491680
1147a585a92
122430b8828
131319c1c05
149867dbc4
155dd4c805
hex3c5965a0

1012491680 has 48 divisors (see below), whose sum is σ = 2456674920. Its totient is φ = 394048512.

The previous prime is 1012491619. The next prime is 1012491691. The reversal of 1012491680 is 861942101.

It can be written as a sum of positive squares in 4 ways, for example, as 941998864 + 70492816 = 30692^2 + 8396^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79595 + ... + 91434.

Almost surely, 21012491680 is an apocalyptic number.

1012491680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012491680 is an abundant number, since it is smaller than the sum of its proper divisors (1444183240).

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

1012491680 is a wasteful number, since it uses less digits than its factorization.

1012491680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171081 (or 171073 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 1012491680 is about 31819.6744169390. The cubic root of 1012491680 is about 1004.1466746554.

The spelling of 1012491680 in words is "one billion, twelve million, four hundred ninety-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 5920 171029 342058 684116 855145 1368232 1710290 2736464 3420580 5472928 6328073 6841160 12656146 13682320 25312292 27364640 31640365 50624584 63280730 101249168 126561460 202498336 253122920 506245840 1012491680