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1070941440 = 2835278891
BaseRepresentation
bin111111110101010…
…100010100000000
32202122011110110210
4333311110110000
54143130111230
6254133554120
735352565152
oct7765242400
92678143423
101070941440
114aa578178
1225a7a5940
13140b4837a
14a2336ad2
1564045eb0
hex3fd54500

1070941440 has 72 divisors (see below), whose sum is σ = 3420331488. Its totient is φ = 285583360.

The previous prime is 1070941439. The next prime is 1070941451. The reversal of 1070941440 is 441490701.

It is a super-2 number, since 2×10709414402 = 2293831135818547200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1070941398 and 1070941407.

It is a congruent number.

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, 135606 + ... + 143285.

It is an arithmetic number, because the mean of its divisors is an integer number (47504604).

Almost surely, 21070941440 is an apocalyptic number.

1070941440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1070941440 is an abundant number, since it is smaller than the sum of its proper divisors (2349390048).

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

1070941440 is an equidigital number, since it uses as much as digits as its factorization.

1070941440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278915 (or 278901 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1070941440 is about 32725.2416339437. The cubic root of 1070941440 is about 1023.1090068634.

The spelling of 1070941440 in words is "one billion, seventy million, nine hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 278891 557782 836673 1115564 1394455 1673346 2231128 2788910 3346692 4183365 4462256 5577820 6693384 8366730 8924512 11155640 13386768 16733460 17849024 22311280 26773536 33466920 35698048 44622560 53547072 66933840 71396096 89245120 107094144 133867680 178490240 214188288 267735360 356980480 535470720 1070941440