Search a number
-
+
70332000 = 253535861
BaseRepresentation
bin1000011000100…
…10111001100000
311220100020100220
410030102321200
5121001111000
610551243040
71512545364
oct414227140
9156306326
1070332000
1136778522
121b679480
131175698b
1494ab2a4
1562941a0
hex4312e60

70332000 has 96 divisors (see below), whose sum is σ = 230446944. Its totient is φ = 18752000.

The previous prime is 70331993. The next prime is 70332001. The reversal of 70332000 is 23307.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70332001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9070 + ... + 14930.

It is an arithmetic number, because the mean of its divisors is an integer number (2400489).

Almost surely, 270332000 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 70332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115223472).

70332000 is an abundant number, since it is smaller than the sum of its proper divisors (160114944).

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

70332000 is a wasteful number, since it uses less digits than its factorization.

70332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5889 (or 5871 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 15.

The square root of 70332000 is about 8386.4175903660. The cubic root of 70332000 is about 412.7790581889.

Adding to 70332000 its reverse (23307), we get a palindrome (70355307).

The spelling of 70332000 in words is "seventy million, three hundred thirty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 5861 6000 11722 12000 17583 23444 29305 35166 46888 58610 70332 87915 93776 117220 140664 146525 175830 187552 234440 281328 293050 351660 439575 468880 562656 586100 703320 732625 879150 937760 1172200 1406640 1465250 1758300 2197875 2344400 2813280 2930500 3516600 4395750 4688800 5861000 7033200 8791500 11722000 14066400 17583000 23444000 35166000 70332000