Search a number
-
+
1072391148 = 2232179166417
BaseRepresentation
bin111111111010110…
…110001111101100
32202201220010002200
4333322312033230
54144013004043
6254225021500
735401113543
oct7772661754
92681803080
101072391148
11500378384
1225b184890
1314123519a
14a25d315a
15642307d3
hex3feb63ec

1072391148 has 36 divisors (see below), whose sum is σ = 2725926840. Its totient is φ = 355464576.

The previous prime is 1072391143. The next prime is 1072391207. The reversal of 1072391148 is 8411932701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1072391143) 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, 76765 + ... + 89652.

It is an arithmetic number, because the mean of its divisors is an integer number (75720190).

Almost surely, 21072391148 is an apocalyptic number.

1072391148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1072391148 is an abundant number, since it is smaller than the sum of its proper divisors (1653535692).

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

1072391148 is a wasteful number, since it uses less digits than its factorization.

1072391148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166606 (or 166601 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1072391148 is about 32747.3838344378. The cubic root of 1072391148 is about 1023.5704515008.

The spelling of 1072391148 in words is "one billion, seventy-two million, three hundred ninety-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 179 358 537 716 1074 1611 2148 3222 6444 166417 332834 499251 665668 998502 1497753 1997004 2995506 5991012 29788643 59577286 89365929 119154572 178731858 268097787 357463716 536195574 1072391148