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70023072 = 2537791319
BaseRepresentation
bin1000010110001…
…11011110100000
311212202112121010
410023013132200
5120411214242
610540500520
71510120620
oct413073640
9155675533
1070023072
1136587409
121b54a740
1311679192
14942a880
15623289c
hex42c77a0

70023072 has 96 divisors (see below), whose sum is σ = 212889600. Its totient is φ = 19738368.

The previous prime is 70023071. The next prime is 70023077. The reversal of 70023072 is 27032007.

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

It is a super-2 number, since 2×700230722 = 9806461224634368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (70023071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52429 + ... + 53747.

It is an arithmetic number, because the mean of its divisors is an integer number (2217600).

Almost surely, 270023072 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 70023072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106444800).

70023072 is an abundant number, since it is smaller than the sum of its proper divisors (142866528).

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

70023072 is a wasteful number, since it uses less digits than its factorization.

70023072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 21.

The square root of 70023072 is about 8367.9789674688. The cubic root of 70023072 is about 412.1738041949.

Adding to 70023072 its reverse (27032007), we get a palindrome (97055079).

The spelling of 70023072 in words is "seventy million, twenty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 79 84 96 112 158 168 224 237 316 336 474 553 632 672 948 1106 1264 1319 1659 1896 2212 2528 2638 3318 3792 3957 4424 5276 6636 7584 7914 8848 9233 10552 13272 15828 17696 18466 21104 26544 27699 31656 36932 42208 53088 55398 63312 73864 104201 110796 126624 147728 208402 221592 295456 312603 416804 443184 625206 729407 833608 886368 1250412 1458814 1667216 2188221 2500824 2917628 3334432 4376442 5001648 5835256 8752884 10003296 11670512 17505768 23341024 35011536 70023072