Search a number
-
+
2802134640 = 243531376631
BaseRepresentation
bin1010011100000101…
…0010111001110000
321020021201012002110
42213001102321300
521214321302030
61142015245320
7126303515514
oct24701227160
97207635073
102802134640
111208806258
12662519840
133586c6a46
141c821c144
1511600c1b0
hexa7052e70

2802134640 has 80 divisors (see below), whose sum is σ = 8966854656. Its totient is φ = 723129600.

The previous prime is 2802134623. The next prime is 2802134681. The reversal of 2802134640 is 464312082.

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 = 2802134598 and 2802134607.

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, 180876 + ... + 195755.

Almost surely, 22802134640 is an apocalyptic number.

2802134640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2802134640 is an abundant number, since it is smaller than the sum of its proper divisors (6164720016).

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

2802134640 is a wasteful number, since it uses less digits than its factorization.

2802134640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376678 (or 376672 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2802134640 is about 52935.1928304790. The cubic root of 2802134640 is about 1409.8178327103.

The spelling of 2802134640 in words is "two billion, eight hundred two million, one hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 376631 753262 1129893 1506524 1883155 2259786 3013048 3766310 4519572 5649465 6026096 7532620 9039144 11298930 11675561 15065240 18078288 22597860 23351122 30130480 35026683 45195720 46702244 58377805 70053366 90391440 93404488 116755610 140106732 175133415 186808976 233511220 280213464 350266830 467022440 560426928 700533660 934044880 1401067320 2802134640