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2038265040 = 243571213253
BaseRepresentation
bin111100101111101…
…0111010011010000
312021001100120222210
41321133113103100
513133243440130
6534131032120
7101336652450
oct17137272320
95231316883
102038265040
11956602769
1248a73b640
132663842b6
141549b9d60
15bde205b0
hex797d74d0

2038265040 has 80 divisors (see below), whose sum is σ = 7221287808. Its totient is φ = 465888768.

The previous prime is 2038264999. The next prime is 2038265051. The reversal of 2038265040 is 405628302.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2038264989 and 2038265007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 604947 + ... + 608306.

Almost surely, 22038265040 is an apocalyptic number.

2038265040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2038265040 is an abundant number, since it is smaller than the sum of its proper divisors (5183022768).

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

2038265040 is a wasteful number, since it uses less digits than its factorization.

2038265040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213276 (or 1213270 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2038265040 is about 45147.1487471800. The cubic root of 2038265040 is about 1267.9054983690.

The spelling of 2038265040 in words is "two billion, thirty-eight million, two hundred sixty-five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 1213253 2426506 3639759 4853012 6066265 7279518 8492771 9706024 12132530 14559036 16985542 18198795 19412048 24265060 25478313 29118072 33971084 36397590 42463855 48530120 50956626 58236144 67942168 72795180 84927710 97060240 101913252 127391565 135884336 145590360 169855420 203826504 254783130 291180720 339710840 407653008 509566260 679421680 1019132520 2038265040