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1393713152 = 2131323569
BaseRepresentation
bin101001100010010…
…0110000000000000
310121010111222000122
41103010212000000
510323242310102
6350144035412
746352236436
oct12304460000
93533458018
101393713152
11655795357
1232a902b68
1319298a050
14d3156d56
15825520a2
hex53126000

1393713152 has 112 divisors (see below), whose sum is σ = 3137672160. Its totient is φ = 614203392.

The previous prime is 1393713149. The next prime is 1393713157. The reversal of 1393713152 is 2513173931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1393713157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2449124 + ... + 2449692.

It is an arithmetic number, because the mean of its divisors is an integer number (28014930).

Almost surely, 21393713152 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 1393713152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568836080).

1393713152 is an abundant number, since it is smaller than the sum of its proper divisors (1743959008).

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

1393713152 is an equidigital number, since it uses as much as digits as its factorization.

1393713152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 607 counting only the distinct ones).

The product of its digits is 17010, while the sum is 35.

The square root of 1393713152 is about 37332.4677994906. The cubic root of 1393713152 is about 1117.0118989389.

The spelling of 1393713152 in words is "one billion, three hundred ninety-three million, seven hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 256 299 368 416 512 569 598 736 832 1024 1138 1196 1472 1664 2048 2276 2392 2944 3328 4096 4552 4784 5888 6656 7397 8192 9104 9568 11776 13087 13312 14794 18208 19136 23552 26174 26624 29588 36416 38272 47104 52348 53248 59176 72832 76544 94208 104696 106496 118352 145664 153088 170131 188416 209392 236704 291328 306176 340262 418784 473408 582656 612352 680524 837568 946816 1165312 1224704 1361048 1675136 1893632 2330624 2449408 2722096 3350272 3787264 4661248 5444192 6700544 7574528 10888384 13401088 15149056 21776768 26802176 30298112 43553536 53604352 60596224 87107072 107208704 174214144 348428288 696856576 1393713152