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70212672 = 2632791543
BaseRepresentation
bin1000010111101…
…01110001000000
311220010011200100
410023311301000
5120433301142
610544522400
71511540445
oct413656100
9156104610
1070212672
11366a6902
121b620400
131171457a
1494799cc
15626db4c
hex42f5c40

70212672 has 84 divisors (see below), whose sum is σ = 203931520. Its totient is φ = 23092992.

The previous prime is 70212671. The next prime is 70212691. The reversal of 70212672 is 27621207.

It is not an unprimeable number, because it can be changed into a prime (70212671) 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 11 ways as a sum of consecutive naturals, for example, 44733 + ... + 46275.

Almost surely, 270212672 is an apocalyptic number.

70212672 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 70212672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101965760).

70212672 is an abundant number, since it is smaller than the sum of its proper divisors (133718848).

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

70212672 is a wasteful number, since it uses less digits than its factorization.

70212672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 70212672 is about 8379.3002094447. The cubic root of 70212672 is about 412.5454803848.

Adding to 70212672 its reverse (27621207), we get a palindrome (97833879).

The spelling of 70212672 in words is "seventy million, two hundred twelve thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 79 96 144 158 192 237 288 316 474 576 632 711 948 1264 1422 1543 1896 2528 2844 3086 3792 4629 5056 5688 6172 7584 9258 11376 12344 13887 15168 18516 22752 24688 27774 37032 45504 49376 55548 74064 98752 111096 121897 148128 222192 243794 296256 365691 444384 487588 731382 888768 975176 1097073 1462764 1950352 2194146 2925528 3900704 4388292 5851056 7801408 8776584 11702112 17553168 23404224 35106336 70212672