Search a number
-
+
1380738816 = 28321931541
BaseRepresentation
bin101001001001100…
…0110011100000000
310120020002210120200
41102103012130000
510311432120231
6345002005200
746134041412
oct12223063400
93506083520
101380738816
11649433566
123264a6800
13190096722
14d153a9b2
158133cbe6
hex524c6700

1380738816 has 108 divisors (see below), whose sum is σ = 4190670120. Its totient is φ = 436008960.

The previous prime is 1380738803. The next prime is 1380738817. The reversal of 1380738816 is 6188370831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1380738817) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 28006 + ... + 59546.

Almost surely, 21380738816 is an apocalyptic number.

1380738816 is a gapful number since it is divisible by the number (16) 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 1380738816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095335060).

1380738816 is an abundant number, since it is smaller than the sum of its proper divisors (2809931304).

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

1380738816 is a wasteful number, since it uses less digits than its factorization.

1380738816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31582 (or 31565 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1380738816 is about 37158.2940404965. The cubic root of 1380738816 is about 1113.5349298087.

The spelling of 1380738816 in words is "one billion, three hundred eighty million, seven hundred thirty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 576 608 684 768 912 1152 1216 1368 1824 2304 2432 2736 3648 4864 5472 7296 10944 14592 21888 31541 43776 63082 94623 126164 189246 252328 283869 378492 504656 567738 599279 756984 1009312 1135476 1198558 1513968 1797837 2018624 2270952 2397116 3027936 3595674 4037248 4541904 4794232 5393511 6055872 7191348 8074496 9083808 9588464 10787022 12111744 14382696 18167616 19176928 21574044 24223488 28765392 36335232 38353856 43148088 57530784 72670464 76707712 86296176 115061568 153415424 172592352 230123136 345184704 460246272 690369408 1380738816