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70238016 = 263417797
BaseRepresentation
bin1000010111110…
…11111101000000
311220011110110000
410023323331000
5120440104031
610545240000
71512004362
oct413737500
9156143400
1070238016
1136713952
121b633000
1311722c74
149484d32
1562763e6
hex42fbf40

70238016 has 140 divisors (see below), whose sum is σ = 220731588. Its totient is φ = 22007808.

The previous prime is 70238011. The next prime is 70238027. The reversal of 70238016 is 61083207.

It can be written as a sum of positive squares in 2 ways, for example, as 44836416 + 25401600 = 6696^2 + 5040^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70238011) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 87730 + ... + 88526.

Almost surely, 270238016 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 70238016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110365794).

70238016 is an abundant number, since it is smaller than the sum of its proper divisors (150493572).

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

70238016 is a wasteful number, since it uses less digits than its factorization.

70238016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 70238016 is about 8380.8123711249. The cubic root of 70238016 is about 412.5951119522.

The spelling of 70238016 in words is "seventy million, two hundred thirty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 136 144 153 162 192 204 216 272 288 306 324 408 432 459 544 576 612 648 797 816 864 918 1088 1224 1296 1377 1594 1632 1728 1836 2391 2448 2592 2754 3188 3264 3672 4782 4896 5184 5508 6376 7173 7344 9564 9792 11016 12752 13549 14346 14688 19128 21519 22032 25504 27098 28692 29376 38256 40647 43038 44064 51008 54196 57384 64557 76512 81294 86076 88128 108392 114768 121941 129114 153024 162588 172152 216784 229536 243882 258228 325176 344304 365823 433568 459072 487764 516456 650352 688608 731646 867136 975528 1032912 1097469 1300704 1377216 1463292 1951056 2065824 2194938 2601408 2926584 3902112 4131648 4389876 5853168 7804224 8779752 11706336 17559504 23412672 35119008 70238016