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5740900 = 22521117307
BaseRepresentation
bin10101111001100101100100
3101210200000221
4111321211210
52432202100
6323014124
766540214
oct25714544
911720027
105740900
113271250
121b0a344
1312600a9
14a96244
1578601a
hex579964

5740900 has 72 divisors (see below), whose sum is σ = 14436576. Its totient is φ = 1958400.

The previous prime is 5740897. The next prime is 5740919. The reversal of 5740900 is 90475.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 18547 + ... + 18853.

It is an arithmetic number, because the mean of its divisors is an integer number (200508).

Almost surely, 25740900 is an apocalyptic number.

5740900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5740900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7218288).

5740900 is an abundant number, since it is smaller than the sum of its proper divisors (8695676).

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

5740900 is a wasteful number, since it uses less digits than its factorization.

5740900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 5740900 is about 2396.0175291512. The cubic root of 5740900 is about 179.0578342712.

The spelling of 5740900 in words is "five million, seven hundred forty thousand, nine hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 307 340 374 425 550 614 748 850 935 1100 1228 1535 1700 1870 3070 3377 3740 4675 5219 6140 6754 7675 9350 10438 13508 15350 16885 18700 20876 26095 30700 33770 52190 57409 67540 84425 104380 114818 130475 168850 229636 260950 287045 337700 521900 574090 1148180 1435225 2870450 5740900