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1050957040 = 24573160539
BaseRepresentation
bin111110101001000…
…101010011110000
32201020120011000211
4332221011103300
54123021111130
6252141353504
735020662460
oct7651052360
92636504024
101050957040
1149a268641
12253b68894
1313996c093
149d813ba0
15623e9a2a
hex3ea454f0

1050957040 has 80 divisors (see below), whose sum is σ = 2882672640. Its totient is φ = 348698880.

The previous prime is 1050956999. The next prime is 1050957041. The reversal of 1050957040 is 407590501.

1050957040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10509570402 = 2209021399851123200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 1050956993 and 1050957011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1050957041) 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, 12910 + ... + 47629.

It is an arithmetic number, because the mean of its divisors is an integer number (36033408).

Almost surely, 21050957040 is an apocalyptic number.

1050957040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1050957040 is an abundant number, since it is smaller than the sum of its proper divisors (1831715600).

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

1050957040 is a wasteful number, since it uses less digits than its factorization.

1050957040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60590 (or 60584 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 31.

The square root of 1050957040 is about 32418.4675763676. The cubic root of 1050957040 is about 1016.7050668407.

The spelling of 1050957040 in words is "one billion, fifty million, nine hundred fifty-seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 217 248 280 310 434 496 560 620 868 1085 1240 1736 2170 2480 3472 4340 8680 17360 60539 121078 242156 302695 423773 484312 605390 847546 968624 1210780 1695092 1876709 2118865 2421560 3390184 3753418 4237730 4843120 6780368 7506836 8475460 9383545 13136963 15013672 16950920 18767090 26273926 30027344 33901840 37534180 52547852 65684815 75068360 105095704 131369630 150136720 210191408 262739260 525478520 1050957040