Search a number
-
+
700148040 = 233537712221
BaseRepresentation
bin101001101110110…
…110100101001000
31210210110012112220
4221232312211020
52413214214130
6153250334040
723231105634
oct5156664510
91723405486
10700148040
1132a240649
1217658a320
13b20918a7
1468db5dc4
1541701410
hex29bb6948

700148040 has 128 divisors (see below), whose sum is σ = 2188581120. Its totient is φ = 179020800.

The previous prime is 700148039. The next prime is 700148041. The reversal of 700148040 is 40841007.

700148040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (700148039) and next prime (700148041).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 700148040.

It is not an unprimeable number, because it can be changed into a prime (700148041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314130 + ... + 316350.

It is an arithmetic number, because the mean of its divisors is an integer number (17098290).

Almost surely, 2700148040 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 700148040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094290560).

700148040 is an abundant number, since it is smaller than the sum of its proper divisors (1488433080).

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

700148040 is a wasteful number, since it uses less digits than its factorization.

700148040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2343 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 700148040 is about 26460.3106557727. The cubic root of 700148040 is about 887.9665903346.

Adding to 700148040 its reverse (40841007), we get a palindrome (740989047).

The spelling of 700148040 in words is "seven hundred million, one hundred forty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 71 74 111 120 142 148 185 213 222 284 296 355 370 426 444 555 568 710 740 852 888 1065 1110 1420 1480 1704 2130 2220 2221 2627 2840 4260 4440 4442 5254 6663 7881 8520 8884 10508 11105 13135 13326 15762 17768 21016 22210 26270 26652 31524 33315 39405 44420 52540 53304 63048 66630 78810 82177 88840 105080 133260 157620 157691 164354 246531 266520 315240 315382 328708 410885 473073 493062 630764 657416 788455 821770 946146 986124 1232655 1261528 1576910 1643540 1892292 1972248 2365365 2465310 3153820 3287080 3784584 4730730 4930620 5834567 6307640 9461460 9861240 11669134 17503701 18922920 23338268 29172835 35007402 46676536 58345670 70014804 87518505 116691340 140029608 175037010 233382680 350074020 700148040