Search a number
-
+
140860656 = 24322989379
BaseRepresentation
bin10000110010101…
…01110011110000
3100211001110111100
420121111303300
5242030020111
621551044400
73330203316
oct1031256360
9324043440
10140860656
117256a772
123b210700
132324c001
14149ca0b6
15c576756
hex8655cf0

140860656 has 120 divisors (see below), whose sum is σ = 413478000. Its totient is φ = 44706816.

The previous prime is 140860633. The next prime is 140860667. The reversal of 140860656 is 656068041.

140860656 is a `hidden beast` number, since 1 + 40 + 8 + 606 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 140860656.

It is a congruent number.

It is an unprimeable number.

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, 371475 + ... + 371853.

It is an arithmetic number, because the mean of its divisors is an integer number (3445650).

Almost surely, 2140860656 is an apocalyptic number.

140860656 is a gapful number since it is divisible by the number (16) 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 140860656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206739000).

140860656 is an abundant number, since it is smaller than the sum of its proper divisors (272617344).

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

140860656 is a wasteful number, since it uses less digits than its factorization.

140860656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 140860656 is about 11868.4731958243. The cubic root of 140860656 is about 520.3112732000.

The spelling of 140860656 in words is "one hundred forty million, eight hundred sixty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 89 116 144 174 178 232 261 267 348 356 379 464 522 534 696 712 758 801 1044 1068 1137 1392 1424 1516 1602 2088 2136 2274 2581 3032 3204 3411 4176 4272 4548 5162 6064 6408 6822 7743 9096 10324 10991 12816 13644 15486 18192 20648 21982 23229 27288 30972 32973 33731 41296 43964 46458 54576 61944 65946 67462 87928 92916 98919 101193 123888 131892 134924 175856 185832 197838 202386 263784 269848 303579 371664 395676 404772 527568 539696 607158 791352 809544 978199 1214316 1582704 1619088 1956398 2428632 2934597 3912796 4857264 5869194 7825592 8803791 11738388 15651184 17607582 23476776 35215164 46953552 70430328 140860656