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70668288 = 2123571
BaseRepresentation
bin1000011011001…
…01000000000000
311220222022200000
410031211000000
5121042341123
611002400000
71515445665
oct415450000
9156868600
1070668288
1136988149
121b800000
1311843a72
149557a6c
15630db43
hex4365000

70668288 has 156 divisors (see below), whose sum is σ = 214669728. Its totient is φ = 23224320.

The previous prime is 70668287. The next prime is 70668289. The reversal of 70668288 is 88286607.

It is an interprime number because it is at equal distance from previous prime (70668287) and next prime (70668289).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70668287) 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 11 ways as a sum of consecutive naturals, for example, 995293 + ... + 995363.

It is an arithmetic number, because the mean of its divisors is an integer number (1376088).

Almost surely, 270668288 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 70668288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107334864).

70668288 is an abundant number, since it is smaller than the sum of its proper divisors (144001440).

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

70668288 is an frugal number, since it uses more digits than its factorization.

70668288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 70668288 is about 8406.4432431320. The cubic root of 70668288 is about 413.4359047095.

The spelling of 70668288 in words is "seventy million, six hundred sixty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 71 72 81 96 108 128 142 144 162 192 213 216 243 256 284 288 324 384 426 432 486 512 568 576 639 648 768 852 864 972 1024 1136 1152 1278 1296 1536 1704 1728 1917 1944 2048 2272 2304 2556 2592 3072 3408 3456 3834 3888 4096 4544 4608 5112 5184 5751 6144 6816 6912 7668 7776 9088 9216 10224 10368 11502 12288 13632 13824 15336 15552 17253 18176 18432 20448 20736 23004 27264 27648 30672 31104 34506 36352 36864 40896 41472 46008 54528 55296 61344 62208 69012 72704 81792 82944 92016 109056 110592 122688 124416 138024 145408 163584 165888 184032 218112 245376 248832 276048 290816 327168 331776 368064 436224 490752 497664 552096 654336 736128 872448 981504 995328 1104192 1308672 1472256 1963008 2208384 2617344 2944512 3926016 4416768 5889024 7852032 8833536 11778048 17667072 23556096 35334144 70668288