Search a number
-
+
2040213300 = 2235237414483
BaseRepresentation
bin111100110011011…
…0010111100110100
312021012000120111120
41321212302330310
513134243311200
6534240503540
7101362345506
oct17146627464
95235016446
102040213300
119577134a4
1248b31abb0
132668b7008
14154d65d76
15be1a79a0
hex799b2f34

2040213300 has 144 divisors (see below), whose sum is σ = 6211810752. Its totient is φ = 516326400.

The previous prime is 2040213281. The next prime is 2040213311. The reversal of 2040213300 is 33120402.

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 2040213300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 452859 + ... + 457341.

Almost surely, 22040213300 is an apocalyptic number.

2040213300 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 2040213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105905376).

2040213300 is an abundant number, since it is smaller than the sum of its proper divisors (4171597452).

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

2040213300 is a wasteful number, since it uses less digits than its factorization.

2040213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4578 (or 4571 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2040213300 is about 45168.7203715137. The cubic root of 2040213300 is about 1268.3093423069.

Adding to 2040213300 its reverse (33120402), we get a palindrome (2073333702).

The spelling of 2040213300 in words is "two billion, forty million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 41 50 60 74 75 82 100 111 123 148 150 164 185 205 222 246 300 370 410 444 492 555 615 740 820 925 1025 1110 1230 1517 1850 2050 2220 2460 2775 3034 3075 3700 4100 4483 4551 5550 6068 6150 7585 8966 9102 11100 12300 13449 15170 17932 18204 22415 22755 26898 30340 37925 44830 45510 53796 67245 75850 89660 91020 112075 113775 134490 151700 165871 183803 224150 227550 268980 331742 336225 367606 448300 455100 497613 551409 663484 672450 735212 829355 919015 995226 1102818 1344900 1658710 1838030 1990452 2205636 2488065 2757045 3317420 3676060 4146775 4595075 4976130 5514090 6800711 8293550 9190150 9952260 11028180 12440325 13601422 13785225 16587100 18380300 20402133 24880650 27202844 27570450 34003555 40804266 49761300 55140900 68007110 81608532 102010665 136014220 170017775 204021330 340035550 408042660 510053325 680071100 1020106650 2040213300