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1014365940 = 223575345569
BaseRepresentation
bin111100011101011…
…111111011110100
32121200201010110220
4330131133323310
54034134202230
6244353214340
734064653050
oct7435377364
92550633426
101014365940
11480646165
122438613b0
131321ca043
1498a0ac60
155e0bcd10
hex3c75fef4

1014365940 has 96 divisors (see below), whose sum is σ = 3307288320. Its totient is φ = 227475456.

The previous prime is 1014365929. The next prime is 1014365959. The reversal of 1014365940 is 495634101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 525 + ... + 45044.

It is an arithmetic number, because the mean of its divisors is an integer number (34450920).

Almost surely, 21014365940 is an apocalyptic number.

1014365940 is a gapful number since it is divisible by the number (10) 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 1014365940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653644160).

1014365940 is an abundant number, since it is smaller than the sum of its proper divisors (2292922380).

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

1014365940 is a wasteful number, since it uses less digits than its factorization.

1014365940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45641 (or 45639 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 1014365940 is about 31849.1120755352. The cubic root of 1014365940 is about 1004.7658968104.

The spelling of 1014365940 in words is "one billion, fourteen million, three hundred sixty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 53 60 70 84 105 106 140 159 210 212 265 318 371 420 530 636 742 795 1060 1113 1484 1590 1855 2226 3180 3710 4452 5565 7420 11130 22260 45569 91138 136707 182276 227845 273414 318983 455690 546828 637966 683535 911380 956949 1275932 1367070 1594915 1913898 2415157 2734140 3189830 3827796 4784745 4830314 6379660 7245471 9569490 9660628 12075785 14490942 16906099 19138980 24151570 28981884 33812198 36227355 48303140 50718297 67624396 72454710 84530495 101436594 144909420 169060990 202873188 253591485 338121980 507182970 1014365940