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70002816 = 2731337379
BaseRepresentation
bin1000010110000…
…10100010000000
311212201111210220
410023002202000
5120410042231
610540223040
71510004562
oct413024200
9155644726
1070002816
1136573174
121b53aa80
131166cbb0
149423332
15622b896
hex42c2880

70002816 has 128 divisors (see below), whose sum is σ = 206203200. Its totient is φ = 20901888.

The previous prime is 70002811. The next prime is 70002883. The reversal of 70002816 is 61820007.

It is a tau number, because it is divible by the number of its divisors (128).

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 (70002811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184515 + ... + 184893.

Almost surely, 270002816 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 70002816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103101600).

70002816 is an abundant number, since it is smaller than the sum of its proper divisors (136200384).

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

70002816 is a wasteful number, since it uses less digits than its factorization.

70002816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 70002816 is about 8366.7685518365. The cubic root of 70002816 is about 412.1340563541.

The spelling of 70002816 in words is "seventy million, two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 96 104 111 128 148 156 192 208 222 296 312 379 384 416 444 481 592 624 758 832 888 962 1137 1184 1248 1443 1516 1664 1776 1924 2274 2368 2496 2886 3032 3552 3848 4548 4736 4927 4992 5772 6064 7104 7696 9096 9854 11544 12128 14023 14208 14781 15392 18192 19708 23088 24256 28046 29562 30784 36384 39416 42069 46176 48512 56092 59124 61568 72768 78832 84138 92352 112184 118248 145536 157664 168276 182299 184704 224368 236496 315328 336552 364598 448736 472992 546897 630656 673104 729196 897472 945984 1093794 1346208 1458392 1794944 1891968 2187588 2692416 2916784 4375176 5384832 5833568 8750352 11667136 17500704 23334272 35001408 70002816