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2151313040 = 245119322541
BaseRepresentation
bin1000000000111010…
…0110111010010000
312112221002000200202
42000032212322100
513401214004130
6553250034332
7104211600452
oct20016467220
95487060622
102151313040
11a043a6368
125005789a8
13283915ac6
14165a062d2
15c8d01145
hex803a6e90

2151313040 has 40 divisors (see below), whose sum is σ = 5006217528. Its totient is φ = 859765760.

The previous prime is 2151313039. The next prime is 2151313051. The reversal of 2151313040 is 403131512.

It can be written as a sum of positive squares in 4 ways, for example, as 469328896 + 1681984144 = 21664^2 + 41012^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 84170 + ... + 106710.

Almost surely, 22151313040 is an apocalyptic number.

2151313040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2151313040 is an abundant number, since it is smaller than the sum of its proper divisors (2854904488).

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

2151313040 is a wasteful number, since it uses less digits than its factorization.

2151313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23747 (or 23741 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 2151313040 is about 46382.2491908273. The cubic root of 2151313040 is about 1290.9255701490.

Adding to 2151313040 its reverse (403131512), we get a palindrome (2554444552).

The spelling of 2151313040 in words is "two billion, one hundred fifty-one million, three hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1193 2386 4772 5965 9544 11930 19088 22541 23860 45082 47720 90164 95440 112705 180328 225410 360656 450820 901640 1803280 26891413 53782826 107565652 134457065 215131304 268914130 430262608 537828260 1075656520 2151313040