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140254416 = 2434313491
BaseRepresentation
bin10000101110000…
…01110011010000
3100202220122220000
420113001303100
5241401120131
621530050000
73322100001
oct1027016320
9322818800
10140254416
1172196245
123ab79900
13230990a3
14148ad1a8
15c4a6ce6
hex85c1cd0

140254416 has 100 divisors (see below), whose sum is σ = 419151744. Its totient is φ = 45230400.

The previous prime is 140254397. The next prime is 140254417. The reversal of 140254416 is 614452041.

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

It is a self number, because there is not a number n which added to its sum of digits gives 140254416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140254417) 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 19 ways as a sum of consecutive naturals, for example, 38431 + ... + 41921.

Almost surely, 2140254416 is an apocalyptic number.

140254416 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 140254416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209575872).

140254416 is an abundant number, since it is smaller than the sum of its proper divisors (278897328).

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

140254416 is a wasteful number, since it uses less digits than its factorization.

140254416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3542 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 140254416 is about 11842.9057245255. The cubic root of 140254416 is about 519.5637564125.

The spelling of 140254416 in words is "one hundred forty million, two hundred fifty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 81 93 108 124 144 162 186 216 248 279 324 372 432 496 558 648 744 837 1116 1296 1488 1674 2232 2511 3348 3491 4464 5022 6696 6982 10044 10473 13392 13964 20088 20946 27928 31419 40176 41892 55856 62838 83784 94257 108221 125676 167568 188514 216442 251352 282771 324663 377028 432884 502704 565542 649326 754056 865768 973989 1131084 1298652 1508112 1731536 1947978 2262168 2597304 2921967 3895956 4524336 5194608 5843934 7791912 8765901 11687868 15583824 17531802 23375736 35063604 46751472 70127208 140254416