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2072707416 = 23321319116549
BaseRepresentation
bin111101110001011…
…0000000101011000
312100110011110001100
41323202300011120
513221103114131
6541401151400
7102235502523
oct17342600530
95313143040
102072707416
11973a9783a
1249a18b560
132705532c0
141593c3bba
15c1e757e6
hex7b8b0158

2072707416 has 96 divisors (see below), whose sum is σ = 6363630000. Its totient is φ = 604184832.

The previous prime is 2072707393. The next prime is 2072707453. The reversal of 2072707416 is 6147072702.

It is a happy number.

It is a super-2 number, since 2×20727074162 = 8592232064682794112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40491 + ... + 76058.

Almost surely, 22072707416 is an apocalyptic number.

2072707416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2072707416 is an abundant number, since it is smaller than the sum of its proper divisors (4290922584).

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

2072707416 is a wasteful number, since it uses less digits than its factorization.

2072707416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116593 (or 116586 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 2072707416 is about 45526.9965624793. The cubic root of 2072707416 is about 1275.0072876169.

The spelling of 2072707416 in words is "two billion, seventy-two million, seven hundred seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 36 38 39 52 57 72 76 78 104 114 117 152 156 171 228 234 247 312 342 456 468 494 684 741 936 988 1368 1482 1976 2223 2964 4446 5928 8892 17784 116549 233098 349647 466196 699294 932392 1048941 1398588 1515137 2097882 2214431 2797176 3030274 4195764 4428862 4545411 6060548 6643293 8391528 8857724 9090822 12121096 13286586 13636233 17715448 18181644 19929879 26573172 27272466 28787603 36363288 39859758 53146344 54544932 57575206 79719516 86362809 109089864 115150412 159439032 172725618 230300824 259088427 345451236 518176854 690902472 1036353708 2072707416