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1389903744 = 2736789607
BaseRepresentation
bin101001011011000…
…0011111110000000
310120212100102111110
41102312003332000
510321303404434
6345530243320
746304662335
oct12266037600
93525312443
101389903744
11653623289
12329586540
13191c55168
14d284498c
158204d4e9
hex52d83f80

1389903744 has 128 divisors (see below), whose sum is σ = 3795379200. Its totient is φ = 450514944.

The previous prime is 1389903709. The next prime is 1389903761. The reversal of 1389903744 is 4473099831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1389903693 and 1389903702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2289489 + ... + 2290095.

It is an arithmetic number, because the mean of its divisors is an integer number (29651400).

Almost surely, 21389903744 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 1389903744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897689600).

1389903744 is an abundant number, since it is smaller than the sum of its proper divisors (2405475456).

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

1389903744 is an equidigital number, since it uses as much as digits as its factorization.

1389903744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 1389903744 is about 37281.4128487642. The cubic root of 1389903744 is about 1115.9932682884.

The spelling of 1389903744 in words is "one billion, three hundred eighty-nine million, nine hundred three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 89 96 128 134 178 192 201 267 268 356 384 402 534 536 607 712 804 1068 1072 1214 1424 1608 1821 2136 2144 2428 2848 3216 3642 4272 4288 4856 5696 5963 6432 7284 8544 8576 9712 11392 11926 12864 14568 17088 17889 19424 23852 25728 29136 34176 35778 38848 40669 47704 54023 58272 71556 77696 81338 95408 108046 116544 122007 143112 162069 162676 190816 216092 233088 244014 286224 324138 325352 381632 432184 488028 572448 648276 650704 763264 864368 976056 1144896 1296552 1301408 1728736 1952112 2289792 2593104 2602816 3457472 3619541 3904224 5186208 5205632 6914944 7239082 7808448 10372416 10858623 14478164 15616896 20744832 21717246 28956328 43434492 57912656 86868984 115825312 173737968 231650624 347475936 463301248 694951872 1389903744