Search a number
-
+
40070900 = 2252616569
BaseRepresentation
bin1001100011011…
…0111011110100
32210101210221102
42120312323310
540224232100
63550505232
7664411532
oct230667364
983353842
1040070900
1120689951
1211505218
1383bcbbc
145471152
1537b7cd5
hex2636ef4

40070900 has 36 divisors (see below), whose sum is σ = 88392780. Its totient is φ = 15763200.

The previous prime is 40070893. The next prime is 40070903. The reversal of 40070900 is 907004.

It can be written as a sum of positive squares in 6 ways, for example, as 1779556 + 38291344 = 1334^2 + 6188^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40070903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2816 + ... + 9384.

It is an arithmetic number, because the mean of its divisors is an integer number (2455355).

Almost surely, 240070900 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 40070900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44196390).

40070900 is an abundant number, since it is smaller than the sum of its proper divisors (48321880).

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

40070900 is a wasteful number, since it uses less digits than its factorization.

40070900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6644 (or 6637 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 40070900 is about 6330.1579759118. The cubic root of 40070900 is about 342.1971322254.

Adding to 40070900 its reverse (907004), we get a palindrome (40977904).

The spelling of 40070900 in words is "forty million, seventy thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 6569 13138 26276 32845 65690 131380 164225 328450 400709 656900 801418 1602836 2003545 4007090 8014180 10017725 20035450 40070900