Search a number
-
+
1202131040 = 25511797857
BaseRepresentation
bin100011110100111…
…0001000001100000
310002210000120202212
41013221301001200
54430221143130
6315141501252
741534642135
oct10751610140
93083016685
101202131040
11567631930
12296711828
1316208c456
14b592658c
157080be95
hex47a71060

1202131040 has 96 divisors (see below), whose sum is σ = 3105726624. Its totient is φ = 436080640.

The previous prime is 1202131027. The next prime is 1202131057. The reversal of 1202131040 is 401312021.

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, 1402292 + ... + 1403148.

It is an arithmetic number, because the mean of its divisors is an integer number (32351319).

Almost surely, 21202131040 is an apocalyptic number.

1202131040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1202131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552863312).

1202131040 is an abundant number, since it is smaller than the sum of its proper divisors (1903595584).

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

1202131040 is a wasteful number, since it uses less digits than its factorization.

1202131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1202131040 is about 34671.7614204990. The cubic root of 1202131040 is about 1063.2872438256.

Adding to 1202131040 its reverse (401312021), we get a palindrome (1603443061).

The spelling of 1202131040 in words is "one billion, two hundred two million, one hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 797 857 880 1594 1714 1760 3188 3428 3985 4285 6376 6856 7970 8570 8767 9427 12752 13712 15940 17140 17534 18854 25504 27424 31880 34280 35068 37708 43835 47135 63760 68560 70136 75416 87670 94270 127520 137120 140272 150832 175340 188540 280544 301664 350680 377080 683029 701360 754160 1366058 1402720 1508320 2732116 3415145 5464232 6830290 7513319 10928464 13660580 15026638 21856928 27321160 30053276 37566595 54642320 60106552 75133190 109284640 120213104 150266380 240426208 300532760 601065520 1202131040