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1054136040 = 233513167057
BaseRepresentation
bin111110110101001…
…101011011101000
32201110112122210120
4332311031123220
54124324323130
6252333443240
735060002626
oct7665153350
92643478716
101054136040
114a103a011
12255040520
1313a513049
14a0000516
1562826910
hex3ed4d6e8

1054136040 has 64 divisors (see below), whose sum is σ = 3186596160. Its totient is φ = 278952960.

The previous prime is 1054136033. The next prime is 1054136047. The reversal of 1054136040 is 406314501.

It is an interprime number because it is at equal distance from previous prime (1054136033) and next prime (1054136047).

It is a super-2 number, since 2×10541360402 = 2222405581653763200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1054136040.

It is not an unprimeable number, because it can be changed into a prime (1054136047) 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, 17809 + ... + 49248.

It is an arithmetic number, because the mean of its divisors is an integer number (49790565).

Almost surely, 21054136040 is an apocalyptic number.

1054136040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1054136040 is an abundant number, since it is smaller than the sum of its proper divisors (2132460120).

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

1054136040 is a wasteful number, since it uses less digits than its factorization.

1054136040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67202 (or 67198 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1054136040 is about 32467.4612496881. The cubic root of 1054136040 is about 1017.7291657839.

The spelling of 1054136040 in words is "one billion, fifty-four million, one hundred thirty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 262 393 524 655 786 1048 1310 1572 1965 2620 3144 3930 5240 7860 15720 67057 134114 201171 268228 335285 402342 536456 670570 804684 1005855 1341140 1609368 2011710 2682280 4023420 8046840 8784467 17568934 26353401 35137868 43922335 52706802 70275736 87844670 105413604 131767005 175689340 210827208 263534010 351378680 527068020 1054136040