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70667640 = 23345171283
BaseRepresentation
bin1000011011001…
…00110101111000
311220222021210000
410031210311320
5121042331030
611002353000
71515444051
oct415446570
9156867700
1070667640
113698770a
121b7bb760
1311843694
149557728
15630d860
hex4364d78

70667640 has 160 divisors (see below), whose sum is σ = 251689680. Its totient is φ = 17722368.

The previous prime is 70667627. The next prime is 70667651. The reversal of 70667640 is 4676607.

70667640 is a `hidden beast` number, since 7 + 0 + 6 + 6 + 7 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 70667595 and 70667604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54439 + ... + 55721.

Almost surely, 270667640 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 70667640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125844840).

70667640 is an abundant number, since it is smaller than the sum of its proper divisors (181022040).

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

70667640 is a wasteful number, since it uses less digits than its factorization.

70667640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 70667640 is about 8406.4047011787. The cubic root of 70667640 is about 413.4346410249.

It can be divided in two parts, 7066 and 7640, that added together give a triangular number (14706 = T171).

The spelling of 70667640 in words is "seventy million, six hundred sixty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 81 85 90 102 108 120 135 136 153 162 170 180 204 216 255 270 306 324 340 360 405 408 459 510 540 612 648 680 765 810 918 1020 1080 1224 1283 1377 1530 1620 1836 2040 2295 2566 2754 3060 3240 3672 3849 4590 5132 5508 6120 6415 6885 7698 9180 10264 11016 11547 12830 13770 15396 18360 19245 21811 23094 25660 27540 30792 34641 38490 43622 46188 51320 55080 57735 65433 69282 76980 87244 92376 103923 109055 115470 130866 138564 153960 173205 174488 196299 207846 218110 230940 261732 277128 327165 346410 392598 415692 436220 461880 519615 523464 588897 654330 692820 785196 831384 872440 981495 1039230 1177794 1308660 1385640 1570392 1766691 1962990 2078460 2355588 2617320 2944485 3533382 3925980 4156920 4711176 5888970 7066764 7851960 8833455 11777940 14133528 17666910 23555880 35333820 70667640