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2830191240 = 233586327329
BaseRepresentation
bin1010100010110001…
…0100101010001000
321022020111121111210
42220230110222020
521244012104430
61144500453120
7130064141262
oct25054245210
97266447453
102830191240
111222629628
1266b9aa1a0
1336146b296
141cbc42b32
151187002b0
hexa8b14a88

2830191240 has 64 divisors (see below), whose sum is σ = 8500723200. Its totient is φ = 753815552.

The previous prime is 2830191223. The next prime is 2830191271. The reversal of 2830191240 is 421910382.

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 = 2830191198 and 2830191207.

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, 89896 + ... + 117224.

It is an arithmetic number, because the mean of its divisors is an integer number (132823800).

Almost surely, 22830191240 is an apocalyptic number.

2830191240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2830191240 is an abundant number, since it is smaller than the sum of its proper divisors (5670531960).

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

2830191240 is a wasteful number, since it uses less digits than its factorization.

2830191240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28206 (or 28202 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2830191240 is about 53199.5417273495. The cubic root of 2830191240 is about 1414.5075204758.

The spelling of 2830191240 in words is "two billion, eight hundred thirty million, one hundred ninety-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 863 1726 2589 3452 4315 5178 6904 8630 10356 12945 17260 20712 25890 27329 34520 51780 54658 81987 103560 109316 136645 163974 218632 273290 327948 409935 546580 655896 819870 1093160 1639740 3279480 23584927 47169854 70754781 94339708 117924635 141509562 188679416 235849270 283019124 353773905 471698540 566038248 707547810 943397080 1415095620 2830191240