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1406706630 = 235744315121
BaseRepresentation
bin101001111011000…
…1010001111000110
310122000222002201120
41103312022033012
510340104103010
6351330334410
746600544340
oct12366121706
93560862646
101406706630
1166205a56a
1233312a406
131955892b4
14d4b7a290
158376be70
hex53d8a3c6

1406706630 has 64 divisors (see below), whose sum is σ = 3867360768. Its totient is φ = 320785920.

The previous prime is 1406706583. The next prime is 1406706641. The reversal of 1406706630 is 366076041.

1406706630 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1406706591 and 1406706600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85470 + ... + 100590.

It is an arithmetic number, because the mean of its divisors is an integer number (60427512).

Almost surely, 21406706630 is an apocalyptic number.

1406706630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406706630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933680384).

1406706630 is an abundant number, since it is smaller than the sum of its proper divisors (2460654138).

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

1406706630 is a wasteful number, since it uses less digits than its factorization.

1406706630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15581.

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 1406706630 is about 37506.0879058320. The cubic root of 1406706630 is about 1120.4724383369.

The spelling of 1406706630 in words is "one billion, four hundred six million, seven hundred six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 443 886 1329 2215 2658 3101 4430 6202 6645 9303 13290 15121 15505 18606 30242 31010 45363 46515 75605 90726 93030 105847 151210 211694 226815 317541 453630 529235 635082 1058470 1587705 3175410 6698603 13397206 20095809 33493015 40191618 46890221 66986030 93780442 100479045 140670663 200958090 234451105 281341326 468902210 703353315 1406706630