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140521416 = 23372192331
BaseRepresentation
bin10000110000000…
…10111111001000
3100210102020010220
420120002333020
5241433141131
621535510040
73324261300
oct1030027710
9323366126
10140521416
1172358902
123b088320
1323160789
141493c600
15c50ae96
hex8602fc8

140521416 has 144 divisors (see below), whose sum is σ = 432602640. Its totient is φ = 37920960.

The previous prime is 140521411. The next prime is 140521417. The reversal of 140521416 is 614125041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (140521411) 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 35 ways as a sum of consecutive naturals, for example, 424371 + ... + 424701.

It is an arithmetic number, because the mean of its divisors is an integer number (3004185).

Almost surely, 2140521416 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 140521416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216301320).

140521416 is an abundant number, since it is smaller than the sum of its proper divisors (292081224).

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

140521416 is a wasteful number, since it uses less digits than its factorization.

140521416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 140521416 is about 11854.1729361436. The cubic root of 140521416 is about 519.8932423836.

Adding to 140521416 its reverse (614125041), we get a palindrome (754646457).

The spelling of 140521416 in words is "one hundred forty million, five hundred twenty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 49 56 57 76 84 98 114 133 147 152 168 196 228 266 294 331 361 392 399 456 532 588 662 722 798 931 993 1064 1083 1176 1324 1444 1596 1862 1986 2166 2317 2527 2648 2793 2888 3192 3724 3972 4332 4634 5054 5586 6289 6951 7448 7581 7944 8664 9268 10108 11172 12578 13902 15162 16219 17689 18536 18867 20216 22344 25156 27804 30324 32438 35378 37734 44023 48657 50312 53067 55608 60648 64876 70756 75468 88046 97314 106134 119491 129752 132069 141512 150936 176092 194628 212268 238982 264138 308161 352184 358473 389256 424536 477964 528276 616322 716946 836437 924483 955928 1056552 1232644 1433892 1672874 1848966 2465288 2509311 2867784 3345748 3697932 5018622 5855059 6691496 7395864 10037244 11710118 17565177 20074488 23420236 35130354 46840472 70260708 140521416