Search a number
-
+
70009884 = 223272347257
BaseRepresentation
bin1000010110001…
…00010000011100
311212201212111200
410023010100130
5120410304014
610540315500
71510034310
oct413042034
9155655450
1070009884
113657850a
121b542b90
1311673189
149425b40
15622da09
hex42c441c

70009884 has 144 divisors (see below), whose sum is σ = 216373248. Its totient is φ = 18653184.

The previous prime is 70009871. The next prime is 70009897. The reversal of 70009884 is 48890007.

It is an interprime number because it is at equal distance from previous prime (70009871) and next prime (70009897).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272284 + ... + 272540.

It is an arithmetic number, because the mean of its divisors is an integer number (1502592).

Almost surely, 270009884 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 70009884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108186624).

70009884 is an abundant number, since it is smaller than the sum of its proper divisors (146363364).

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

70009884 is a wasteful number, since it uses less digits than its factorization.

70009884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 70009884 is about 8367.1909264699. The cubic root of 70009884 is about 412.1479265841.

The spelling of 70009884 in words is "seventy million, nine thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 47 63 69 84 92 94 126 138 141 161 188 207 252 257 276 282 322 329 414 423 483 514 564 644 658 771 828 846 966 987 1028 1081 1316 1449 1542 1692 1799 1932 1974 2162 2313 2898 2961 3084 3243 3598 3948 4324 4626 5397 5796 5911 5922 6486 7196 7567 9252 9729 10794 11822 11844 12079 12972 15134 16191 17733 19458 21588 22701 23644 24158 30268 32382 35466 36237 38916 41377 45402 48316 53199 64764 68103 70932 72474 82754 84553 90804 106398 108711 124131 136206 144948 165508 169106 212796 217422 248262 253659 272412 277817 338212 372393 434844 496524 507318 555634 744786 760977 833451 1014636 1111268 1489572 1521954 1666902 1944719 2500353 3043908 3333804 3889438 5000706 5834157 7778876 10001412 11668314 17502471 23336628 35004942 70009884