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1390788264 = 2332937531019
BaseRepresentation
bin101001011100101…
…1011111010101000
310120221000100211110
41102321123322220
510322020211024
6350001230320
746315335165
oct12271337250
93527010743
101390788264
11654077898
123299323a0
131921a4948
14d29d506c
1582175629
hex52e5bea8

1390788264 has 128 divisors (see below), whose sum is σ = 3767472000. Its totient is φ = 426875904.

The previous prime is 1390788251. The next prime is 1390788307. The reversal of 1390788264 is 4628870931.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1364347 + ... + 1365365.

It is an arithmetic number, because the mean of its divisors is an integer number (29433375).

Almost surely, 21390788264 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 1390788264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883736000).

1390788264 is an abundant number, since it is smaller than the sum of its proper divisors (2376683736).

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

1390788264 is a wasteful number, since it uses less digits than its factorization.

1390788264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 1390788264 is about 37293.2737098796. The cubic root of 1390788264 is about 1116.2299535137.

The spelling of 1390788264 in words is "one billion, three hundred ninety million, seven hundred eighty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 29 37 53 58 74 87 106 111 116 148 159 174 212 222 232 296 318 348 424 444 636 696 888 1019 1073 1272 1537 1961 2038 2146 3057 3074 3219 3922 4076 4292 4611 5883 6114 6148 6438 7844 8152 8584 9222 11766 12228 12296 12876 15688 18444 23532 24456 25752 29551 36888 37703 47064 54007 56869 59102 75406 88653 108014 113109 113738 118204 150812 162021 170607 177306 216028 226218 227476 236408 301624 324042 341214 354612 432056 452436 454952 648084 682428 709224 904872 1093387 1296168 1364856 1566203 1998259 2186774 3132406 3280161 3996518 4373548 4698609 5994777 6264812 6560322 7993036 8747096 9397218 11989554 12529624 13120644 15986072 18794436 23979108 26241288 37588872 47958216 57949511 115899022 173848533 231798044 347697066 463596088 695394132 1390788264