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1970042816 = 26719231443
BaseRepresentation
bin111010101101100…
…0111011111000000
312002021222112200202
41311123013133000
513013312332231
6523252504332
766551042030
oct16533073700
95067875622
101970042816
11921046365
1246b91b0a8
132551b8a11
141498db8c0
15b7e465cb
hex756c77c0

1970042816 has 56 divisors (see below), whose sum is σ = 4702942080. Its totient is φ = 799863552.

The previous prime is 1970042801. The next prime is 1970042831. The reversal of 1970042816 is 6182400791.

It is an interprime number because it is at equal distance from previous prime (1970042801) and next prime (1970042831).

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 1970042816.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107210 + ... + 124233.

Almost surely, 21970042816 is an apocalyptic number.

1970042816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1970042816 is an abundant number, since it is smaller than the sum of its proper divisors (2732899264).

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

1970042816 is a wasteful number, since it uses less digits than its factorization.

1970042816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231481 (or 231471 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 1970042816 is about 44385.1643682886. The cubic root of 1970042816 is about 1253.5987632594.

The spelling of 1970042816 in words is "one billion, nine hundred seventy million, forty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 2128 4256 8512 231443 462886 925772 1620101 1851544 3240202 3703088 4397417 6480404 7406176 8794834 12960808 14812352 17589668 25921616 30781919 35179336 51843232 61563838 70358672 103686464 123127676 140717344 246255352 281434688 492510704 985021408 1970042816