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755132640 = 25351573193
BaseRepresentation
bin101101000000100…
…110100011100000
31221121220201020120
4231000212203200
53021303221030
6202533040240
724466343613
oct5500464340
91847821216
10755132640
11358286369
12190a86080
13c05a3a62
147240a17a
1546463010
hex2d0268e0

755132640 has 48 divisors (see below), whose sum is σ = 2378669328. Its totient is φ = 201368576.

The previous prime is 755132617. The next prime is 755132647. The reversal of 755132640 is 46231557.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755132647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 786117 + ... + 787076.

It is an arithmetic number, because the mean of its divisors is an integer number (49555611).

Almost surely, 2755132640 is an apocalyptic number.

It is an amenable number.

755132640 is an abundant number, since it is smaller than the sum of its proper divisors (1623536688).

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

755132640 is a wasteful number, since it uses less digits than its factorization.

755132640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573211 (or 1573203 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 755132640 is about 27479.6768539952. The cubic root of 755132640 is about 910.6281699075.

The spelling of 755132640 in words is "seven hundred fifty-five million, one hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1573193 3146386 4719579 6292772 7865965 9439158 12585544 15731930 18878316 23597895 25171088 31463860 37756632 47195790 50342176 62927720 75513264 94391580 125855440 151026528 188783160 251710880 377566320 755132640