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2372084 = 2211213229
BaseRepresentation
bin1001000011000111110100
311110111212222
421003013310
51101401314
6122501512
726106461
oct11030764
94414788
102372084
111380200
12964898
13650900
1445a668
1531cc8e
hex2431f4

2372084 has 54 divisors (see below), whose sum is σ = 5111190. Its totient is φ = 960960.

The previous prime is 2372081. The next prime is 2372087. The reversal of 2372084 is 4802732.

2372084 = 512 + 522 + ... + 1932.

It is an interprime number because it is at equal distance from previous prime (2372081) and next prime (2372087).

It can be written as a sum of positive squares in 3 ways, for example, as 484 + 2371600 = 22^2 + 1540^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a d-powerful number, because it can be written as 213 + 37 + 74 + 221 + 0 + 8 + 49 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2372081) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 81782 + ... + 81810.

22372084 is an apocalyptic number.

It is an amenable number.

2372084 is an abundant number, since it is smaller than the sum of its proper divisors (2739106).

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

2372084 is a wasteful number, since it uses less digits than its factorization.

2372084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 2372084 is about 1540.1571348405. The cubic root of 2372084 is about 133.3654561492.

The spelling of 2372084 in words is "two million, three hundred seventy-two thousand, eighty-four".

Divisors: 1 2 4 11 13 22 26 29 44 52 58 116 121 143 169 242 286 319 338 377 484 572 638 676 754 1276 1508 1573 1859 3146 3509 3718 4147 4901 6292 7018 7436 8294 9802 14036 16588 19604 20449 40898 45617 53911 81796 91234 107822 182468 215644 593021 1186042 2372084