Search a number
-
+
1332274820 = 225738910253
BaseRepresentation
bin100111101101000…
…1110011010000100
310102211220120110212
41033122032122010
510212030243240
6340111134552
745005102102
oct11732163204
93384816425
101332274820
11624041878
12312214458
131830284c6
14c8d22c72
157be68165
hex4f68e684

1332274820 has 48 divisors (see below), whose sum is σ = 2868248880. Its totient is φ = 519653376.

The previous prime is 1332274807. The next prime is 1332274843. The reversal of 1332274820 is 284722331.

It can be written as a sum of positive squares in 8 ways, for example, as 221652544 + 1110622276 = 14888^2 + 33326^2 .

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, 124814 + ... + 135066.

It is an arithmetic number, because the mean of its divisors is an integer number (59755185).

Almost surely, 21332274820 is an apocalyptic number.

1332274820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1332274820 is an abundant number, since it is smaller than the sum of its proper divisors (1535974060).

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

1332274820 is a wasteful number, since it uses less digits than its factorization.

1332274820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10424 (or 10422 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 1332274820 is about 36500.3399984165. The cubic root of 1332274820 is about 1100.3510780200.

The spelling of 1332274820 in words is "one billion, three hundred thirty-two million, two hundred seventy-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 73 89 146 178 292 356 365 445 730 890 1460 1780 6497 10253 12994 20506 25988 32485 41012 51265 64970 102530 129940 205060 748469 912517 1496938 1825034 2993876 3650068 3742345 4562585 7484690 9125170 14969380 18250340 66613741 133227482 266454964 333068705 666137410 1332274820