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2101372 = 2271323251
BaseRepresentation
bin1000000001000001111100
310221202112121
420001001330
51014220442
6113012324
723601310
oct10010174
93852477
102101372
111205879
128540a4
13587620
143c9b40
152b7967
hex20107c

2101372 has 48 divisors (see below), whose sum is σ = 4741632. Its totient is φ = 792000.

The previous prime is 2101357. The next prime is 2101391. The reversal of 2101372 is 2731012.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8247 + ... + 8497.

It is an arithmetic number, because the mean of its divisors is an integer number (98784).

22101372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370816).

2101372 is an abundant number, since it is smaller than the sum of its proper divisors (2640260).

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

2101372 is a wasteful number, since it uses less digits than its factorization.

2101372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 2101372 is about 1449.6109822984. The cubic root of 2101372 is about 128.0857985960.

Adding to 2101372 its reverse (2731012), we get a palindrome (4832384).

The spelling of 2101372 in words is "two million, one hundred one thousand, three hundred seventy-two".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 91 92 161 182 251 299 322 364 502 598 644 1004 1196 1757 2093 3263 3514 4186 5773 6526 7028 8372 11546 13052 22841 23092 40411 45682 75049 80822 91364 150098 161644 300196 525343 1050686 2101372