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5457340 = 2257172293
BaseRepresentation
bin10100110100010110111100
3101021021001201
4110310112330
52344113330
6312545244
764246420
oct24642674
911237051
105457340
1130981a9
1219b2224
131190cc5
14a20b80
1572beca
hex5345bc

5457340 has 48 divisors (see below), whose sum is σ = 13874112. Its totient is φ = 1760256.

The previous prime is 5457337. The next prime is 5457341. The reversal of 5457340 is 437545.

5457340 = T315 + T316 + ... + T399.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 5457299 and 5457308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5457341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1234 + ... + 3526.

It is an arithmetic number, because the mean of its divisors is an integer number (289044).

Almost surely, 25457340 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 5457340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6937056).

5457340 is an abundant number, since it is smaller than the sum of its proper divisors (8416772).

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

5457340 is a wasteful number, since it uses less digits than its factorization.

5457340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 5457340 is about 2336.0950323135. The cubic root of 5457340 is about 176.0598539539.

The spelling of 5457340 in words is "five million, four hundred fifty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2293 2380 4586 9172 11465 16051 22930 32102 38981 45860 64204 77962 80255 155924 160510 194905 272867 321020 389810 545734 779620 1091468 1364335 2728670 5457340