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1402942080 = 27354316993
BaseRepresentation
bin101001110011111…
…0011001010000000
310121202212211201210
41103213303022000
510333123121310
6351113530120
746523545101
oct12347631200
93552784653
101402942080
1165aa19171
12331a13940
1319486b957
14d447a3a8
1583276820
hex539f3280

1402942080 has 128 divisors (see below), whose sum is σ = 4576144320. Its totient is φ = 365395968.

The previous prime is 1402942067. The next prime is 1402942081. The reversal of 1402942080 is 802492041.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1402942081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74064 + ... + 91056.

Almost surely, 21402942080 is an apocalyptic number.

1402942080 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 1402942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288072160).

1402942080 is an abundant number, since it is smaller than the sum of its proper divisors (3173202240).

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

1402942080 is a wasteful number, since it uses less digits than its factorization.

1402942080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17058 (or 17046 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1402942080 is about 37455.8684320628. The cubic root of 1402942080 is about 1119.4720300647.

The spelling of 1402942080 in words is "one billion, four hundred two million, nine hundred forty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 128 129 160 172 192 215 240 258 320 344 384 430 480 516 640 645 688 860 960 1032 1290 1376 1720 1920 2064 2580 2752 3440 4128 5160 5504 6880 8256 10320 13760 16512 16993 20640 27520 33986 41280 50979 67972 82560 84965 101958 135944 169930 203916 254895 271888 339860 407832 509790 543776 679720 730699 815664 1019580 1087552 1359440 1461398 1631328 2039160 2175104 2192097 2718880 2922796 3262656 3653495 4078320 4384194 5437760 5845592 6525312 7306990 8156640 8768388 10875520 10960485 11691184 14613980 16313280 17536776 21920970 23382368 29227960 32626560 35073552 43841940 46764736 58455920 70147104 87683880 93529472 116911840 140294208 175367760 233823680 280588416 350735520 467647360 701471040 1402942080