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76542240 = 2535159463
BaseRepresentation
bin1001000111111…
…11000100100000
312100000202012210
410203333010200
5124043322430
611332322120
71616412135
oct443770440
9170022183
1076542240
113a22a355
1221773340
1312b1c588
14a24658c
156abe2b0
hex48ff120

76542240 has 48 divisors (see below), whose sum is σ = 241109568. Its totient is φ = 20411136.

The previous prime is 76542239. The next prime is 76542247. The reversal of 76542240 is 4224567.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 76542198 and 76542207.

It is not an unprimeable number, because it can be changed into a prime (76542247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79252 + ... + 80211.

It is an arithmetic number, because the mean of its divisors is an integer number (5023116).

Almost surely, 276542240 is an apocalyptic number.

It is an amenable number.

76542240 is an abundant number, since it is smaller than the sum of its proper divisors (164567328).

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

76542240 is a wasteful number, since it uses less digits than its factorization.

76542240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159481 (or 159473 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 76542240 is about 8748.8422091154. The cubic root of 76542240 is about 424.5873549591.

The spelling of 76542240 in words is "seventy-six million, five hundred forty-two thousand, two 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 159463 318926 478389 637852 797315 956778 1275704 1594630 1913556 2391945 2551408 3189260 3827112 4783890 5102816 6378520 7654224 9567780 12757040 15308448 19135560 25514080 38271120 76542240