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2379972 = 223729977
BaseRepresentation
bin1001000101000011000100
311110220201010
421011003010
51102124342
6123002220
726141460
oct11050304
94426633
102379972
111386121
12969370
1365438a
1445d4a0
1532029c
hex2450c4

2379972 has 48 divisors (see below), whose sum is σ = 6572160. Its totient is φ = 655872.

The previous prime is 2379953. The next prime is 2379973. The reversal of 2379972 is 2799732.

It is a self number, because there is not a number n which added to its sum of digits gives 2379972.

It is not an unprimeable number, because it can be changed into a prime (2379973) by changing a digit.

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, 1948 + ... + 2924.

It is an arithmetic number, because the mean of its divisors is an integer number (136920).

22379972 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 2379972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3286080).

2379972 is an abundant number, since it is smaller than the sum of its proper divisors (4192188).

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

2379972 is a wasteful number, since it uses less digits than its factorization.

2379972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1018 counting only the distinct ones).

The product of its digits is 47628, while the sum is 39.

The square root of 2379972 is about 1542.7157871753. The cubic root of 2379972 is about 133.5131213519.

It can be divided in two parts, 23799 and 72, that added together give a triangular number (23871 = T218).

The spelling of 2379972 in words is "two million, three hundred seventy-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 977 1218 1954 2436 2931 3908 5862 6839 11724 13678 20517 27356 28333 41034 56666 82068 84999 113332 169998 198331 339996 396662 594993 793324 1189986 2379972