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755348940 = 2232530713669
BaseRepresentation
bin101101000001011…
…011010111001100
31221122022200221200
4231001123113030
53021332131230
6202541425500
724501234333
oct5501332714
91848280850
10755348940
11358413925
12190b6b290
13c064b348
1472464d1a
15464a7160
hex2d05b5cc

755348940 has 72 divisors (see below), whose sum is σ = 2298856560. Its totient is φ = 200755584.

The previous prime is 755348939. The next prime is 755348959. The reversal of 755348940 is 49843557.

755348940 is a `hidden beast` number, since 7 + 553 + 4 + 8 + 94 + 0 = 666.

755348940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48426 + ... + 62094.

Almost surely, 2755348940 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 755348940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149428280).

755348940 is an abundant number, since it is smaller than the sum of its proper divisors (1543507620).

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

755348940 is a wasteful number, since it uses less digits than its factorization.

755348940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13991 (or 13986 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 755348940 is about 27483.6122080050. The cubic root of 755348940 is about 910.7151083071.

The spelling of 755348940 in words is "seven hundred fifty-five million, three hundred forty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 307 614 921 1228 1535 1842 2763 3070 3684 4605 5526 6140 9210 11052 13669 13815 18420 27338 27630 41007 54676 55260 68345 82014 123021 136690 164028 205035 246042 273380 410070 492084 615105 820140 1230210 2460420 4196383 8392766 12589149 16785532 20981915 25178298 37767447 41963830 50356596 62945745 75534894 83927660 125891490 151069788 188837235 251782980 377674470 755348940