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2316137840 = 245371734523
BaseRepresentation
bin1000101000001101…
…0111010101110000
312222102012222210222
42022003113111300
514220412402330
61021454512212
7111252563312
oct21203272560
95872188728
102316137840
11a89443705
12547805668
132abb05683
1417d86d7b2
15d850d0e5
hex8a0d7570

2316137840 has 80 divisors (see below), whose sum is σ = 5563759968. Its totient is φ = 896007168.

The previous prime is 2316137827. The next prime is 2316137843. The reversal of 2316137840 is 487316132.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2316137840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2316137843) 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, 509819 + ... + 514341.

Almost surely, 22316137840 is an apocalyptic number.

2316137840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2316137840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2781879984).

2316137840 is an abundant number, since it is smaller than the sum of its proper divisors (3247622128).

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

2316137840 is a wasteful number, since it uses less digits than its factorization.

2316137840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4746 (or 4740 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 2316137840 is about 48126.2697494830. The cubic root of 2316137840 is about 1323.0861825634.

The spelling of 2316137840 in words is "two billion, three hundred sixteen million, one hundred thirty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 173 185 296 346 370 592 692 740 865 1384 1480 1730 2768 2960 3460 4523 6401 6920 9046 12802 13840 18092 22615 25604 32005 36184 45230 51208 64010 72368 90460 102416 128020 167351 180920 256040 334702 361840 512080 669404 782479 836755 1338808 1564958 1673510 2677616 3129916 3347020 3912395 6259832 6694040 7824790 12519664 13388080 15649580 28951723 31299160 57903446 62598320 115806892 144758615 231613784 289517230 463227568 579034460 1158068920 2316137840