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2042700 = 2235211619
BaseRepresentation
bin111110010101101001100
310211210001120
413302231030
51010331300
6111440540
723235252
oct7625514
93753046
102042700
111175790
12826150
135669ca
143b25d2
152a53a0
hex1f2b4c

2042700 has 72 divisors (see below), whose sum is σ = 6457920. Its totient is φ = 494400.

The previous prime is 2042687. The next prime is 2042717. The reversal of 2042700 is 72402.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2042700.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2991 + ... + 3609.

22042700 is an apocalyptic number.

2042700 is a gapful number since it is divisible by the number (20) 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 2042700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3228960).

2042700 is an abundant number, since it is smaller than the sum of its proper divisors (4415220).

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

2042700 is a wasteful number, since it uses less digits than its factorization.

2042700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 2042700 is about 1429.2305622257. The cubic root of 2042700 is about 126.8824423146.

The spelling of 2042700 in words is "two million, forty-two thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 619 660 825 1100 1238 1650 1857 2476 3095 3300 3714 6190 6809 7428 9285 12380 13618 15475 18570 20427 27236 30950 34045 37140 40854 46425 61900 68090 81708 92850 102135 136180 170225 185700 204270 340450 408540 510675 680900 1021350 2042700