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2920272 = 24383733
BaseRepresentation
bin1011001000111101010000
312111100212020
423020331100
51221422042
6142331440
733551625
oct13107520
95440766
102920272
111715053
12b89b80
137b3294
1456034c
153ca3ec
hex2c8f50

2920272 has 40 divisors (see below), whose sum is σ = 7645344. Its totient is φ = 960384.

The previous prime is 2920249. The next prime is 2920273. The reversal of 2920272 is 2720292.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2920273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3618 + ... + 4350.

22920272 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 2920272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3822672).

2920272 is an abundant number, since it is smaller than the sum of its proper divisors (4725072).

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

2920272 is a wasteful number, since it uses less digits than its factorization.

2920272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 2920272 is about 1708.8803351903. The cubic root of 2920272 is about 142.9358278908.

It can be divided in two parts, 29 and 20272, that added together give a triangular number (20301 = T201).

The spelling of 2920272 in words is "two million, nine hundred twenty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 733 996 1328 1466 1992 2199 2932 3984 4398 5864 8796 11728 17592 35184 60839 121678 182517 243356 365034 486712 730068 973424 1460136 2920272