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742482960 = 243522313873
BaseRepresentation
bin101100010000010…
…110010000010000
31220202010001010220
4230100112100100
53010033423320
6201401553040
724254000232
oct5420262020
91822101126
10742482960
1135112648a
121887a5780
13baa9513b
1470876252
15452b4e40
hex2c416410

742482960 has 80 divisors (see below), whose sum is σ = 2312185344. Its totient is φ = 197093376.

The previous prime is 742482929. The next prime is 742482967. The reversal of 742482960 is 69284247.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (742482967) 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, 46584 + ... + 60456.

Almost surely, 2742482960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742482960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156092672).

742482960 is an abundant number, since it is smaller than the sum of its proper divisors (1569702384).

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

742482960 is a wasteful number, since it uses less digits than its factorization.

742482960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14112 (or 14106 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 742482960 is about 27248.5405113742. The cubic root of 742482960 is about 905.5146833788.

The spelling of 742482960 in words is "seven hundred forty-two million, four hundred eighty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 223 240 446 669 892 1115 1338 1784 2230 2676 3345 3568 4460 5352 6690 8920 10704 13380 13873 17840 26760 27746 41619 53520 55492 69365 83238 110984 138730 166476 208095 221968 277460 332952 416190 554920 665904 832380 1109840 1664760 3093679 3329520 6187358 9281037 12374716 15468395 18562074 24749432 30936790 37124148 46405185 49498864 61873580 74248296 92810370 123747160 148496592 185620740 247494320 371241480 742482960