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70456140 = 223253771149
BaseRepresentation
bin1000011001100…
…01001101001100
311220120112122200
410030301031030
5121014044030
610554041500
71513603326
oct414611514
9156515580
1070456140
1136852817
121b719290
131179b331
149500616
1562bad60
hex433134c

70456140 has 144 divisors (see below), whose sum is σ = 224078400. Its totient is φ = 17902080.

The previous prime is 70456129. The next prime is 70456151. The reversal of 70456140 is 4165407.

70456140 is a `hidden beast` number, since 7 + 0 + 45 + 614 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (70456129) and next prime (70456151).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 472786 + ... + 472934.

It is an arithmetic number, because the mean of its divisors is an integer number (1556100).

Almost surely, 270456140 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 70456140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112039200).

70456140 is an abundant number, since it is smaller than the sum of its proper divisors (153622260).

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

70456140 is a wasteful number, since it uses less digits than its factorization.

70456140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 70456140 is about 8393.8155805331. The cubic root of 70456140 is about 413.0217749855.

The spelling of 70456140 in words is "seventy million, four hundred fifty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 71 74 90 111 142 148 149 180 185 213 222 284 298 333 355 370 426 444 447 555 596 639 666 710 740 745 852 894 1065 1110 1278 1332 1341 1420 1490 1665 1788 2130 2220 2235 2556 2627 2682 2980 3195 3330 4260 4470 5254 5364 5513 6390 6660 6705 7881 8940 10508 10579 11026 12780 13135 13410 15762 16539 21158 22052 23643 26270 26820 27565 31524 31737 33078 39405 42316 47286 49617 52540 52895 55130 63474 66156 78810 82695 94572 95211 99234 105790 110260 118215 126948 157620 158685 165390 190422 198468 211580 236430 248085 317370 330780 380844 391423 472860 476055 496170 634740 782846 952110 992340 1174269 1565692 1904220 1957115 2348538 3522807 3914230 4697076 5871345 7045614 7828460 11742690 14091228 17614035 23485380 35228070 70456140