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5627440 = 245713773
BaseRepresentation
bin10101011101111000110000
3101120220101201
4111131320300
52420034230
6320340544
765555350
oct25357060
911526351
105627440
1131a3a85
121a74754
131220560
14a66b60
157625ca
hex55de30

5627440 has 80 divisors (see below), whose sum is σ = 16123968. Its totient is φ = 1778688.

The previous prime is 5627437. The next prime is 5627443. The reversal of 5627440 is 447265.

5627440 = 1023 + 1033 + ... + 1063.

It is an interprime number because it is at equal distance from previous prime (5627437) and next prime (5627443).

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

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 = 5627399 and 5627408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5627443) 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, 6894 + ... + 7666.

Almost surely, 25627440 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 5627440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8061984).

5627440 is an abundant number, since it is smaller than the sum of its proper divisors (10496528).

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

5627440 is a wasteful number, since it uses less digits than its factorization.

5627440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 5627440 is about 2372.2225865209. Note that the first 3 decimals coincide. The cubic root of 5627440 is about 177.8703765284.

The spelling of 5627440 in words is "five million, six hundred twenty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 773 910 1040 1456 1546 1820 3092 3640 3865 5411 6184 7280 7730 10049 10822 12368 15460 20098 21644 27055 30920 40196 43288 50245 54110 61840 70343 80392 86576 100490 108220 140686 160784 200980 216440 281372 351715 401960 432880 562744 703430 803920 1125488 1406860 2813720 5627440