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54374640 = 2435713191
BaseRepresentation
bin1100111101101…
…1000011110000
310210022111222120
43033123003300
5102404442030
65221234240
71230114435
oct317330360
9123274876
1054374640
1128769521
1216262980
13b35a658
147315b8c
154b91010
hex33db0f0

54374640 has 80 divisors (see below), whose sum is σ = 170989056. Its totient is φ = 14291200.

The previous prime is 54374603. The next prime is 54374689. The reversal of 54374640 is 4647345.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15445 + ... + 18635.

Almost surely, 254374640 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 54374640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85494528).

54374640 is an abundant number, since it is smaller than the sum of its proper divisors (116614416).

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

54374640 is a wasteful number, since it uses less digits than its factorization.

54374640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3278 (or 3272 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 54374640 is about 7373.9161915498. The cubic root of 54374640 is about 378.8484065008.

The spelling of 54374640 in words is "fifty-four million, three hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2840 3191 3408 4260 5680 6382 8520 9573 12764 15955 17040 19146 25528 31910 38292 47865 51056 63820 76584 95730 127640 153168 191460 226561 255280 382920 453122 679683 765840 906244 1132805 1359366 1812488 2265610 2718732 3398415 3624976 4531220 5437464 6796830 9062440 10874928 13593660 18124880 27187320 54374640