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70029312 = 212341139
BaseRepresentation
bin1000010110010…
…01000000000000
311212202212011020
410023021000000
5120411414222
610540545440
71510145043
oct413110000
9155685136
1070029312
1136591071
121b552280
131167bc82
14942cc5a
15623465c
hex42c9000

70029312 has 104 divisors (see below), whose sum is σ = 192652320. Its totient is φ = 22609920.

The previous prime is 70029301. The next prime is 70029317. The reversal of 70029312 is 21392007.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (70029317) 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, 503739 + ... + 503877.

Almost surely, 270029312 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 70029312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96326160).

70029312 is an abundant number, since it is smaller than the sum of its proper divisors (122623008).

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

70029312 is a wasteful number, since it uses less digits than its factorization.

70029312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 70029312 is about 8368.3518090482. The cubic root of 70029312 is about 412.1860472460.

The spelling of 70029312 in words is "seventy million, twenty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 139 164 192 246 256 278 328 384 417 492 512 556 656 768 834 984 1024 1112 1312 1536 1668 1968 2048 2224 2624 3072 3336 3936 4096 4448 5248 5699 6144 6672 7872 8896 10496 11398 12288 13344 15744 17097 17792 20992 22796 26688 31488 34194 35584 41984 45592 53376 62976 68388 71168 83968 91184 106752 125952 136776 142336 167936 182368 213504 251904 273552 284672 364736 427008 503808 547104 569344 729472 854016 1094208 1458944 1708032 2188416 2917888 4376832 5835776 8753664 11671552 17507328 23343104 35014656 70029312