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1400817132 = 2233111390703
BaseRepresentation
bin101001101111110…
…1100010111101100
310121121212212212000
41103133230113230
510332102122012
6351000212300
746466514651
oct12337542754
93547785760
101400817132
116597a7710
1233116a090
131942a66a0
14d4085c28
1582ea6ddc
hex537ec5ec

1400817132 has 96 divisors (see below), whose sum is σ = 4266716160. Its totient is φ = 391832640.

The previous prime is 1400817113. The next prime is 1400817137. The reversal of 1400817132 is 2317180041.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1400817096 and 1400817105.

It is not an unprimeable number, because it can be changed into a prime (1400817137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29908 + ... + 60795.

It is an arithmetic number, because the mean of its divisors is an integer number (44444960).

Almost surely, 21400817132 is an apocalyptic number.

1400817132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1400817132 is an abundant number, since it is smaller than the sum of its proper divisors (2865899028).

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

1400817132 is a wasteful number, since it uses less digits than its factorization.

1400817132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90740 (or 90732 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1400817132 is about 37427.4916605428. The cubic root of 1400817132 is about 1118.9065465443.

Adding to 1400817132 its reverse (2317180041), we get a palindrome (3717997173).

The spelling of 1400817132 in words is "one billion, four hundred million, eight hundred seventeen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 99 108 117 132 143 156 198 234 286 297 351 396 429 468 572 594 702 858 1188 1287 1404 1716 2574 3861 5148 7722 15444 90703 181406 272109 362812 544218 816327 997733 1088436 1179139 1632654 1995466 2358278 2448981 2993199 3265308 3537417 3990932 4716556 4897962 5986398 7074834 8979597 9795924 10612251 11972796 12970529 14149668 17959194 21224502 25941058 26938791 31836753 35918388 38911587 42449004 51882116 53877582 63673506 77823174 107755164 116734761 127347012 155646348 233469522 350204283 466939044 700408566 1400817132