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1402974080 = 27541127421
BaseRepresentation
bin101001110011111…
…1010111110000000
310121202221110121222
41103213322332000
510333130132310
6351114334212
746524040304
oct12347727600
93552843558
101402974080
1165aa40212
12331a2a368
131948803a1
14d4487d04
1583281055
hex539faf80

1402974080 has 128 divisors (see below), whose sum is σ = 3471068160. Its totient is φ = 541900800.

The previous prime is 1402974059. The next prime is 1402974107. The reversal of 1402974080 is 804792041.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1402974080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3332270 + ... + 3332690.

It is an arithmetic number, because the mean of its divisors is an integer number (27117720).

Almost surely, 21402974080 is an apocalyptic number.

1402974080 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 1402974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735534080).

1402974080 is an abundant number, since it is smaller than the sum of its proper divisors (2068094080).

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

1402974080 is a wasteful number, since it uses less digits than its factorization.

1402974080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 1402974080 is about 37456.2955990044. The cubic root of 1402974080 is about 1119.4805414241.

The spelling of 1402974080 in words is "one billion, four hundred two million, nine hundred seventy-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 127 128 160 164 205 254 320 328 410 421 508 635 640 656 820 842 1016 1270 1312 1640 1684 2032 2105 2540 2624 3280 3368 4064 4210 5080 5207 5248 6560 6736 8128 8420 10160 10414 13120 13472 16256 16840 17261 20320 20828 26035 26240 26944 33680 34522 40640 41656 52070 53467 53888 67360 69044 81280 83312 86305 104140 106934 134720 138088 166624 172610 208280 213868 267335 269440 276176 333248 345220 416560 427736 534670 552352 666496 690440 833120 855472 1069340 1104704 1380880 1666240 1710944 2138680 2192147 2209408 2761760 3332480 3421888 4277360 4384294 5523520 6843776 8554720 8768588 10960735 11047040 17109440 17537176 21921470 34218880 35074352 43842940 70148704 87685880 140297408 175371760 280594816 350743520 701487040 1402974080