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1407714440 = 235119732983
BaseRepresentation
bin101001111101000…
…0000010010001000
310122002212022011212
41103322000102020
510340333330230
6351404112252
746612242506
oct12372002210
93562768155
101407714440
11662688770
12333535688
1319584cc32
14d4d5d676
15838ba895
hex53e80488

1407714440 has 64 divisors (see below), whose sum is σ = 3491026560. Its totient is φ = 506603520.

The previous prime is 1407714439. The next prime is 1407714457. The reversal of 1407714440 is 444177041.

It is a junction number, because it is equal to n+sod(n) for n = 1407714397 and 1407714406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26189 + ... + 59171.

It is an arithmetic number, because the mean of its divisors is an integer number (54547290).

Almost surely, 21407714440 is an apocalyptic number.

1407714440 is a gapful number since it is divisible by the number (10) 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 1407714440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745513280).

1407714440 is an abundant number, since it is smaller than the sum of its proper divisors (2083312120).

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

1407714440 is a wasteful number, since it uses less digits than its factorization.

1407714440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33102 (or 33098 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

The square root of 1407714440 is about 37519.5207858523. The cubic root of 1407714440 is about 1120.7399553255.

The spelling of 1407714440 in words is "one billion, four hundred seven million, seven hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 97 110 194 220 388 440 485 776 970 1067 1940 2134 3880 4268 5335 8536 10670 21340 32983 42680 65966 131932 164915 263864 329830 362813 659660 725626 1319320 1451252 1814065 2902504 3199351 3628130 6398702 7256260 12797404 14512520 15996755 25594808 31993510 35192861 63987020 70385722 127974040 140771444 175964305 281542888 351928610 703857220 1407714440