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70371072 = 283310181
BaseRepresentation
bin1000011000111…
…00011100000000
311220102012222000
410030130130000
5121003333242
610552144000
71513100322
oct414343400
9156365860
1070371072
11367a4912
121b698000
131176b6b5
1494bb612
1562a0a4c
hex431c700

70371072 has 72 divisors (see below), whose sum is σ = 208120080. Its totient is φ = 23454720.

The previous prime is 70371071. The next prime is 70371073. The reversal of 70371072 is 27017307.

It is an interprime number because it is at equal distance from previous prime (70371071) and next prime (70371073).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70371071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1822 + ... + 12002.

Almost surely, 270371072 is an apocalyptic number.

70371072 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 70371072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104060040).

70371072 is an abundant number, since it is smaller than the sum of its proper divisors (137749008).

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

70371072 is a wasteful number, since it uses less digits than its factorization.

70371072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10206 (or 10186 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

The square root of 70371072 is about 8388.7467478760. The cubic root of 70371072 is about 412.8554819964.

Adding to 70371072 its reverse (27017307), we get a palindrome (97388379).

The spelling of 70371072 in words is "seventy million, three hundred seventy-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 10181 20362 30543 40724 61086 81448 91629 122172 162896 183258 244344 274887 325792 366516 488688 549774 651584 733032 977376 1099548 1303168 1466064 1954752 2199096 2606336 2932128 3909504 4398192 5864256 7819008 8796384 11728512 17592768 23457024 35185536 70371072