Search a number
-
+
8001373470 = 2352983110807
BaseRepresentation
bin1110111001110101…
…10100010100011110
3202122121222212221120
413130322310110132
5112341322422340
63401545111410
7402165360306
oct73472642436
922577885846
108001373470
113436626352
121673788566
139a690431c
1455c944606
1531c6bc4d0
hex1dceb451e

8001373470 has 64 divisors (see below), whose sum is σ = 20105003520. Its totient is φ = 2035284608.

The previous prime is 8001373433. The next prime is 8001373481. The reversal of 8001373470 is 743731008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16807 + ... + 127613.

It is an arithmetic number, because the mean of its divisors is an integer number (314140680).

Almost surely, 28001373470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8001373470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10052501760).

8001373470 is an abundant number, since it is smaller than the sum of its proper divisors (12103630050).

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

8001373470 is a wasteful number, since it uses less digits than its factorization.

8001373470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110929.

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 8001373470 is about 89450.3967011885. The cubic root of 8001373470 is about 2000.1144492839.

The spelling of 8001373470 in words is "eight billion, one million, three hundred seventy-three thousand, four hundred seventy".

Divisors: 1 2 3 5 6 10 15 29 30 58 83 87 145 166 174 249 290 415 435 498 830 870 1245 2407 2490 4814 7221 12035 14442 24070 36105 72210 110807 221614 332421 554035 664842 1108070 1662105 3213403 3324210 6426806 9196981 9640209 16067015 18393962 19280418 27590943 32134030 45984905 48201045 55181886 91969810 96402090 137954715 266712449 275909430 533424898 800137347 1333562245 1600274694 2667124490 4000686735 8001373470