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70903296 = 293323223
BaseRepresentation
bin1000011100111…
…10011000000000
311221102021001000
410032132120000
5121122401141
611011412000
71520445102
oct416363000
9157367030
1070903296
1137028772
121b8b4000
13118c6a19
1495b9572
1563585b6
hex439e600

70903296 has 160 divisors (see below), whose sum is σ = 219985920. Its totient is φ = 22505472.

The previous prime is 70903291. The next prime is 70903303. The reversal of 70903296 is 69230907.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 70903296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70903291) 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, 317841 + ... + 318063.

It is an arithmetic number, because the mean of its divisors is an integer number (1374912).

Almost surely, 270903296 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 70903296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109992960).

70903296 is an abundant number, since it is smaller than the sum of its proper divisors (149082624).

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

70903296 is a wasteful number, since it uses less digits than its factorization.

70903296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 70903296 is about 8420.4094912302. The cubic root of 70903296 is about 413.8936925113.

The spelling of 70903296 in words is "seventy million, nine hundred three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 223 256 276 288 368 384 414 432 446 512 552 576 621 669 736 768 828 864 892 1104 1152 1242 1338 1472 1536 1656 1728 1784 2007 2208 2304 2484 2676 2944 3312 3456 3568 4014 4416 4608 4968 5129 5352 5888 6021 6624 6912 7136 8028 8832 9936 10258 10704 11776 12042 13248 13824 14272 15387 16056 17664 19872 20516 21408 24084 26496 28544 30774 32112 35328 39744 41032 42816 46161 48168 52992 57088 61548 64224 79488 82064 85632 92322 96336 105984 114176 123096 128448 138483 158976 164128 171264 184644 192672 246192 256896 276966 317952 328256 342528 369288 385344 492384 513792 553932 656512 738576 770688 984768 1027584 1107864 1313024 1477152 1541376 1969536 2215728 2626048 2954304 3082752 3939072 4431456 5908608 7878144 8862912 11817216 17725824 23634432 35451648 70903296