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714074112 = 21132192039
BaseRepresentation
bin101010100011111…
…110100000000000
31211202122201112100
4222203332200000
52430300332422
6154505030400
723460346503
oct5243764000
91752581470
10714074112
113370924a4
1217b185400
13b4c2947b
146ab9d13a
1542a527ac
hex2a8fe800

714074112 has 144 divisors (see below), whose sum is σ = 2171988000. Its totient is φ = 225386496.

The previous prime is 714074107. The next prime is 714074117. The reversal of 714074112 is 211470417.

It is an interprime number because it is at equal distance from previous prime (714074107) and next prime (714074117).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (714074117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 349189 + ... + 351227.

It is an arithmetic number, because the mean of its divisors is an integer number (15083250).

Almost surely, 2714074112 is an apocalyptic number.

714074112 is a gapful number since it is divisible by the number (72) 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 714074112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085994000).

714074112 is an abundant number, since it is smaller than the sum of its proper divisors (1457913888).

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

714074112 is a wasteful number, since it uses less digits than its factorization.

714074112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 714074112 is about 26722.1651817363. The cubic root of 714074112 is about 893.8152554307.

The spelling of 714074112 in words is "seven hundred fourteen million, seventy-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1024 1152 1216 1368 1536 1824 2039 2048 2304 2432 2736 3072 3648 4078 4608 4864 5472 6117 6144 7296 8156 9216 9728 10944 12234 14592 16312 18351 18432 19456 21888 24468 29184 32624 36702 38741 38912 43776 48936 58368 65248 73404 77482 87552 97872 116223 116736 130496 146808 154964 175104 195744 232446 260992 293616 309928 348669 350208 391488 464892 521984 587232 619856 697338 782976 929784 1043968 1174464 1239712 1394676 1565952 1859568 2087936 2348928 2479424 2789352 3131904 3719136 4175872 4697856 4958848 5578704 6263808 7438272 9395712 9917696 11157408 12527616 14876544 18791424 19835392 22314816 29753088 37582848 39670784 44629632 59506176 79341568 89259264 119012352 178518528 238024704 357037056 714074112