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1379664 = 2432111367
BaseRepresentation
bin101010000110101010000
32121002112200
411100311100
5323122124
645323200
714504226
oct5206520
92532480
101379664
11862620
12566500
13393c90
1427cb16
151c3bc9
hex150d50

1379664 has 120 divisors (see below), whose sum is σ = 4603872. Its totient is φ = 380160.

The previous prime is 1379663. The next prime is 1379681. The reversal of 1379664 is 4669731.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1379663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20559 + ... + 20625.

21379664 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 1379664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2301936).

1379664 is an abundant number, since it is smaller than the sum of its proper divisors (3224208).

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

1379664 is a wasteful number, since it uses less digits than its factorization.

1379664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 96 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 1379664 is about 1174.5909926438. The cubic root of 1379664 is about 111.3245916459.

It can be divided in two parts, 137 and 9664, that added together give a square (9801 = 992).

The spelling of 1379664 in words is "one million, three hundred seventy-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 67 72 78 88 99 104 117 132 134 143 144 156 176 198 201 208 234 264 268 286 312 396 402 429 468 528 536 572 603 624 737 792 804 858 871 936 1072 1144 1206 1287 1474 1584 1608 1716 1742 1872 2211 2288 2412 2574 2613 2948 3216 3432 3484 4422 4824 5148 5226 5896 6633 6864 6968 7839 8844 9581 9648 10296 10452 11792 13266 13936 15678 17688 19162 20592 20904 26532 28743 31356 35376 38324 41808 53064 57486 62712 76648 86229 106128 114972 125424 153296 172458 229944 344916 459888 689832 1379664