Search a number
-
+
1378396600 = 235271138713
BaseRepresentation
bin101001000101000…
…1010100110111000
310120001200210122221
41102022022212320
510310332142400
6344435453424
746105114660
oct12212124670
93501623587
101378396600
11648083849
12325757274
1318c7565b9
14d10cb1a0
1581028c1a
hex5228a9b8

1378396600 has 96 divisors (see below), whose sum is σ = 3695433120. Its totient is φ = 468357120.

The previous prime is 1378396559. The next prime is 1378396609. The reversal of 1378396600 is 66938731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1378396609) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 153844 + ... + 162556.

It is an arithmetic number, because the mean of its divisors is an integer number (38494095).

Almost surely, 21378396600 is an apocalyptic number.

1378396600 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 1378396600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847716560).

1378396600 is an abundant number, since it is smaller than the sum of its proper divisors (2317036520).

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

1378396600 is a wasteful number, since it uses less digits than its factorization.

1378396600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8849 (or 8840 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The square root of 1378396600 is about 37126.7639311589. The cubic root of 1378396600 is about 1112.9049251902.

The spelling of 1378396600 in words is "one billion, three hundred seventy-eight million, three hundred ninety-six thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 113 140 175 200 226 280 350 452 565 700 791 904 1130 1400 1582 2260 2825 3164 3955 4520 5650 6328 7910 8713 11300 15820 17426 19775 22600 31640 34852 39550 43565 60991 69704 79100 87130 121982 158200 174260 217825 243964 304955 348520 435650 487928 609910 871300 984569 1219820 1524775 1742600 1969138 2439640 3049550 3938276 4922845 6099100 6891983 7876552 9845690 12198200 13783966 19691380 24614225 27567932 34459915 39382760 49228450 55135864 68919830 98456900 137839660 172299575 196913800 275679320 344599150 689198300 1378396600