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714106272 = 253112292953
BaseRepresentation
bin101010100100000…
…110010110100000
31211202201100122110
4222210012112200
52430302400042
6154505435320
723460542325
oct5244062640
91752640573
10714106272
11337104680
1217b19bb40
13b4c3acb9
146abaab4c
1542a5c09c
hex2a9065a0

714106272 has 96 divisors (see below), whose sum is σ = 2054566080. Its totient is φ = 215377920.

The previous prime is 714106271. The next prime is 714106273. The reversal of 714106272 is 272601417.

It is an interprime number because it is at equal distance from previous prime (714106271) and next prime (714106273).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (714106271) 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, 240348 + ... + 243300.

It is an arithmetic number, because the mean of its divisors is an integer number (21401730).

Almost surely, 2714106272 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 714106272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027283040).

714106272 is an abundant number, since it is smaller than the sum of its proper divisors (1340459808).

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

714106272 is a wasteful number, since it uses less digits than its factorization.

714106272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3206 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 714106272 is about 26722.7669226074. The cubic root of 714106272 is about 893.8286735837.

Adding to 714106272 its reverse (272601417), we get a palindrome (986707689).

The spelling of 714106272 in words is "seven hundred fourteen million, one hundred six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 229 264 352 458 528 687 916 1056 1374 1832 2519 2748 2953 3664 5038 5496 5906 7328 7557 8859 10076 10992 11812 15114 17718 20152 21984 23624 30228 32483 35436 40304 47248 60456 64966 70872 80608 94496 97449 120912 129932 141744 194898 241824 259864 283488 389796 519728 676237 779592 1039456 1352474 1559184 2028711 2704948 3118368 4057422 5409896 7438607 8114844 10819792 14877214 16229688 21639584 22315821 29754428 32459376 44631642 59508856 64918752 89263284 119017712 178526568 238035424 357053136 714106272