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1402069440 = 26351818069
BaseRepresentation
bin101001110010001…
…1110000111000000
310121201020111200210
41103210132013000
510332412210230
6351043114120
746513252002
oct12344360700
93551214623
101402069440
1165a482582
12331672940
131946246b5
14d42d0372
1583152eb0
hex5391e1c0

1402069440 has 112 divisors (see below), whose sum is σ = 4476719520. Its totient is φ = 371773440.

The previous prime is 1402069433. The next prime is 1402069477. The reversal of 1402069440 is 449602041.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1402069398 and 1402069407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169726 + ... + 177794.

It is an arithmetic number, because the mean of its divisors is an integer number (39970710).

Almost surely, 21402069440 is an apocalyptic number.

1402069440 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 1402069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2238359760).

1402069440 is an abundant number, since it is smaller than the sum of its proper divisors (3074650080).

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

1402069440 is a wasteful number, since it uses less digits than its factorization.

1402069440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8270 (or 8260 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1402069440 is about 37444.2177111500. The cubic root of 1402069440 is about 1119.2398753898.

The spelling of 1402069440 in words is "one billion, four hundred two million, sixty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 181 192 240 320 362 480 543 724 905 960 1086 1448 1810 2172 2715 2896 3620 4344 5430 5792 7240 8069 8688 10860 11584 14480 16138 17376 21720 24207 28960 32276 34752 40345 43440 48414 57920 64552 80690 86880 96828 121035 129104 161380 173760 193656 242070 258208 322760 387312 484140 516416 645520 774624 968280 1291040 1460489 1549248 1936560 2582080 2920978 3873120 4381467 5841956 7302445 7746240 8762934 11683912 14604890 17525868 21907335 23367824 29209780 35051736 43814670 46735648 58419560 70103472 87629340 93471296 116839120 140206944 175258680 233678240 280413888 350517360 467356480 701034720 1402069440