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140557464 = 23335211249
BaseRepresentation
bin10000110000010…
…11110010011000
3100210111001121000
420120023302120
5241440314324
621540345000
73324501345
oct1030136230
9323431530
10140557464
11723829a3
123b0a5160
1323173cc8
141494b7cc
15c5169c9
hex860bc98

140557464 has 64 divisors (see below), whose sum is σ = 391500000. Its totient is φ = 46725120.

The previous prime is 140557463. The next prime is 140557499. The reversal of 140557464 is 464755041.

140557464 is a `hidden beast` number, since 1 + 40 + 557 + 4 + 64 = 666.

It is a super-2 number, since 2×1405574642 = 39512801372222592, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140557463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111912 + ... + 113160.

Almost surely, 2140557464 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 140557464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195750000).

140557464 is an abundant number, since it is smaller than the sum of its proper divisors (250942536).

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

140557464 is a wasteful number, since it uses less digits than its factorization.

140557464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 140557464 is about 11855.6933158715. The cubic root of 140557464 is about 519.9376947046.

The spelling of 140557464 in words is "one hundred forty million, five hundred fifty-seven thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 521 1042 1249 1563 2084 2498 3126 3747 4168 4689 4996 6252 7494 9378 9992 11241 12504 14067 14988 18756 22482 28134 29976 33723 37512 44964 56268 67446 89928 112536 134892 269784 650729 1301458 1952187 2602916 3904374 5205832 5856561 7808748 11713122 15617496 17569683 23426244 35139366 46852488 70278732 140557464