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1147442040 = 2332522314293
BaseRepresentation
bin100010001100100…
…1001001101111000
32221222010002120100
41010121021031320
54322221121130
6305505355400
740302045033
oct10431111570
92858102510
101147442040
11539779208
12280338b60
131539519b4
14ac56c01a
156ab07c60
hex44649378

1147442040 has 96 divisors (see below), whose sum is σ = 3746171520. Its totient is φ = 304591104.

The previous prime is 1147442033. The next prime is 1147442041. The reversal of 1147442040 is 402447411.

It is a junction number, because it is equal to n+sod(n) for n = 1147441995 and 1147442013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1147442041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73134 + ... + 87426.

It is an arithmetic number, because the mean of its divisors is an integer number (39022620).

Almost surely, 21147442040 is an apocalyptic number.

1147442040 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 1147442040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873085760).

1147442040 is an abundant number, since it is smaller than the sum of its proper divisors (2598729480).

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

1147442040 is a wasteful number, since it uses less digits than its factorization.

1147442040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14533 (or 14526 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 1147442040 is about 33873.9138571261. The cubic root of 1147442040 is about 1046.9121799998.

Adding to 1147442040 its reverse (402447411), we get a palindrome (1549889451).

The spelling of 1147442040 in words is "one billion, one hundred forty-seven million, four hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 223 360 446 669 892 1115 1338 1784 2007 2230 2676 3345 4014 4460 5352 6690 8028 8920 10035 13380 14293 16056 20070 26760 28586 40140 42879 57172 71465 80280 85758 114344 128637 142930 171516 214395 257274 285860 343032 428790 514548 571720 643185 857580 1029096 1286370 1715160 2572740 3187339 5145480 6374678 9562017 12749356 15936695 19124034 25498712 28686051 31873390 38248068 47810085 57372102 63746780 76496136 95620170 114744204 127493560 143430255 191240340 229488408 286860510 382480680 573721020 1147442040