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1494131200 = 29521131033
BaseRepresentation
bin101100100001110…
…1010001000000000
310212010110201200121
41121003222020000
511024444144300
6404132230024
752011622432
oct13103521000
93763421617
101494131200
116a7441981
1235846b314
131aa718c03
14102616652
158b28a81a
hex590ea200

1494131200 has 120 divisors (see below), whose sum is σ = 3738201588. Its totient is φ = 591790080.

The previous prime is 1494131189. The next prime is 1494131209. The reversal of 1494131200 is 21314941.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 499611904 + 994519296 = 22352^2 + 31536^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1494131209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1445884 + ... + 1446916.

Almost surely, 21494131200 is an apocalyptic number.

1494131200 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 1494131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869100794).

1494131200 is an abundant number, since it is smaller than the sum of its proper divisors (2244070388).

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

1494131200 is a wasteful number, since it uses less digits than its factorization.

1494131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 1494131200 is about 38653.9933253991. The cubic root of 1494131200 is about 1143.2193804119.

The spelling of 1494131200 in words is "one billion, four hundred ninety-four million, one hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 113 128 160 200 226 256 320 400 452 512 565 640 800 904 1033 1130 1280 1600 1808 2066 2260 2560 2825 3200 3616 4132 4520 5165 5650 6400 7232 8264 9040 10330 11300 12800 14464 16528 18080 20660 22600 25825 28928 33056 36160 41320 45200 51650 57856 66112 72320 82640 90400 103300 116729 132224 144640 165280 180800 206600 233458 264448 289280 330560 361600 413200 466916 528896 583645 661120 723200 826400 933832 1167290 1322240 1446400 1652800 1867664 2334580 2644480 2918225 3305600 3735328 4669160 5836450 6611200 7470656 9338320 11672900 13222400 14941312 18676640 23345800 29882624 37353280 46691600 59765248 74706560 93383200 149413120 186766400 298826240 373532800 747065600 1494131200