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2137432 = 2311107227
BaseRepresentation
bin1000001001110101011000
311000121000011
420021311120
51021344212
6113451304
724111403
oct10116530
94017004
102137432
11122a980
12870b34
1359ab6b
143d8d3a
152c34a7
hex209d58

2137432 has 32 divisors (see below), whose sum is σ = 4432320. Its totient is φ = 958240.

The previous prime is 2137423. The next prime is 2137441. The reversal of 2137432 is 2347312.

It is an interprime number because it is at equal distance from previous prime (2137423) and next prime (2137441).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a d-powerful number, because it can be written as 25 + 1 + 3 + 74 + 47 + 313 + 219 .

It is a congruent number.

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, 9303 + ... + 9529.

It is an arithmetic number, because the mean of its divisors is an integer number (138510).

22137432 is an apocalyptic number.

2137432 is a gapful number since it is divisible by the number (22) 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 2137432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216160).

2137432 is an abundant number, since it is smaller than the sum of its proper divisors (2294888).

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

2137432 is a wasteful number, since it uses less digits than its factorization.

2137432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 347 counting only the distinct ones).

The product of its digits is 1008, while the sum is 22.

The square root of 2137432 is about 1461.9958960271. The cubic root of 2137432 is about 128.8143072722.

The spelling of 2137432 in words is "two million, one hundred thirty-seven thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 107 214 227 428 454 856 908 1177 1816 2354 2497 4708 4994 9416 9988 19976 24289 48578 97156 194312 267179 534358 1068716 2137432