Search a number
-
+
70073856 = 293337137
BaseRepresentation
bin1000010110100…
…11111000000000
311212212010021000
410023103320000
5120414330411
610541532000
71510421646
oct413237000
9155763230
1070073856
1136611586
121b574000
1311696328
149441196
156242956
hex42d3e00

70073856 has 160 divisors (see below), whose sum is σ = 214584480. Its totient is φ = 22560768.

The previous prime is 70073849. The next prime is 70073891. The reversal of 70073856 is 65837007.

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

It is a self number, because there is not a number n which added to its sum of digits gives 70073856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 511420 + ... + 511556.

It is an arithmetic number, because the mean of its divisors is an integer number (1341153).

Almost surely, 270073856 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 70073856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107292240).

70073856 is an abundant number, since it is smaller than the sum of its proper divisors (144510624).

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

70073856 is a wasteful number, since it uses less digits than its factorization.

70073856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 70073856 is about 8371.0128419445. The cubic root of 70073856 is about 412.2734226762.

The spelling of 70073856 in words is "seventy million, seventy-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 128 137 144 148 192 216 222 256 274 288 296 333 384 411 432 444 512 548 576 592 666 768 822 864 888 999 1096 1152 1184 1233 1332 1536 1644 1728 1776 1998 2192 2304 2368 2466 2664 3288 3456 3552 3699 3996 4384 4608 4736 4932 5069 5328 6576 6912 7104 7398 7992 8768 9472 9864 10138 10656 13152 13824 14208 14796 15207 15984 17536 18944 19728 20276 21312 26304 28416 29592 30414 31968 35072 39456 40552 42624 45621 52608 56832 59184 60828 63936 70144 78912 81104 85248 91242 105216 118368 121656 127872 136863 157824 162208 170496 182484 210432 236736 243312 255744 273726 315648 324416 364968 473472 486624 511488 547452 631296 648832 729936 946944 973248 1094904 1297664 1459872 1893888 1946496 2189808 2595328 2919744 3892992 4379616 5839488 7785984 8759232 11678976 17518464 23357952 35036928 70073856