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5311416 = 2331123159
BaseRepresentation
bin10100010000101110111000
3100222211220010
4110100232320
52324431131
6305501520
763101115
oct24205670
910884803
105311416
112aa8600
1219418a0
13113c766
149c390c
156edb46
hex510bb8

5311416 has 96 divisors (see below), whose sum is σ = 15321600. Its totient is φ = 1531200.

The previous prime is 5311409. The next prime is 5311417. The reversal of 5311416 is 6141135.

It is a super-2 number, since 2×53114162 = 56422279850112, which contains 22 as substring.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5311392 and 5311401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5311417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89995 + ... + 90053.

It is an arithmetic number, because the mean of its divisors is an integer number (159600).

Almost surely, 25311416 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 5311416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7660800).

5311416 is an abundant number, since it is smaller than the sum of its proper divisors (10010184).

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

5311416 is a wasteful number, since it uses less digits than its factorization.

5311416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 106 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 5311416 is about 2304.6509497102. The cubic root of 5311416 is about 174.4764324239.

The spelling of 5311416 in words is "five million, three hundred eleven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 59 62 66 88 93 118 121 124 132 177 186 236 242 248 264 341 354 363 372 472 484 649 682 708 726 744 968 1023 1298 1364 1416 1452 1829 1947 2046 2596 2728 2904 3658 3751 3894 4092 5192 5487 7139 7316 7502 7788 8184 10974 11253 14278 14632 15004 15576 20119 21417 21948 22506 28556 30008 40238 42834 43896 45012 57112 60357 80476 85668 90024 120714 160952 171336 221309 241428 442618 482856 663927 885236 1327854 1770472 2655708 5311416