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70242816 = 293747139
BaseRepresentation
bin1000010111111…
…01001000000000
311220011201000210
410023331020000
5120440232231
610545314120
71512024360
oct413751000
9156151023
1070242816
1136717516
121b635940
13117251c7
1494869a0
156277a46
hex42fd200

70242816 has 160 divisors (see below), whose sum is σ = 219985920. Its totient is φ = 19501056.

The previous prime is 70242797. The next prime is 70242839. The reversal of 70242816 is 61824207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 505275 + ... + 505413.

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

Almost surely, 270242816 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 70242816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109992960).

70242816 is an abundant number, since it is smaller than the sum of its proper divisors (149743104).

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

70242816 is a wasteful number, since it uses less digits than its factorization.

70242816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 70242816 is about 8381.0987346529. The cubic root of 70242816 is about 412.6045105255.

The spelling of 70242816 in words is "seventy million, two hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 84 94 96 112 128 139 141 168 188 192 224 256 278 282 329 336 376 384 417 448 512 556 564 658 672 752 768 834 896 973 987 1112 1128 1316 1344 1504 1536 1668 1792 1946 1974 2224 2256 2632 2688 2919 3008 3336 3584 3892 3948 4448 4512 5264 5376 5838 6016 6533 6672 7784 7896 8896 9024 10528 10752 11676 12032 13066 13344 15568 15792 17792 18048 19599 21056 23352 24064 26132 26688 31136 31584 35584 36096 39198 42112 45731 46704 52264 53376 62272 63168 71168 72192 78396 84224 91462 93408 104528 106752 124544 126336 137193 156792 168448 182924 186816 209056 213504 249088 252672 274386 313584 365848 373632 418112 498176 505344 548772 627168 731696 747264 836224 1097544 1254336 1463392 1494528 1672448 2195088 2508672 2926784 3344896 4390176 5017344 5853568 8780352 10034688 11707136 17560704 23414272 35121408 70242816