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2014868740 = 225412719067
BaseRepresentation
bin111100000011000…
…0111010100000100
312012102022221022011
41320012013110010
513111301244430
6531533344004
7100634046613
oct17006072404
95172287264
102014868740
11944382785
12482938004
13261582031
1415184987a
15bbd4d22a
hex78187504

2014868740 has 48 divisors (see below), whose sum is σ = 4350898944. Its totient is φ = 783302400.

The previous prime is 2014868729. The next prime is 2014868773. The reversal of 2014868740 is 478684102.

It is a junction number, because it is equal to n+sod(n) for n = 2014868693 and 2014868702.

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, 217687 + ... + 226753.

It is an arithmetic number, because the mean of its divisors is an integer number (90643728).

Almost surely, 22014868740 is an apocalyptic number.

2014868740 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 2014868740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2175449472).

2014868740 is an abundant number, since it is smaller than the sum of its proper divisors (2336030204).

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

2014868740 is a wasteful number, since it uses less digits than its factorization.

2014868740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9388 (or 9386 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 2014868740 is about 44887.2892921816. The cubic root of 2014868740 is about 1263.0355841507.

It can be divided in two parts, 20148 and 68740, that added together give a palindrome (88888).

The spelling of 2014868740 in words is "two billion, fourteen million, eight hundred sixty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 271 410 542 820 1084 1355 2710 5420 9067 11111 18134 22222 36268 44444 45335 55555 90670 111110 181340 222220 371747 743494 1486988 1858735 2457157 3717470 4914314 7434940 9828628 12285785 24571570 49143140 100743437 201486874 402973748 503717185 1007434370 2014868740