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147106320 = 2435718997
BaseRepresentation
bin10001100010010…
…10101000010000
3101020210202221020
420301022220100
5300124400240
622332555440
73434245254
oct1061125020
9336722836
10147106320
1176046179
1241322b80
1324627a7a
1415774264
15cdac0d0
hex8c4aa10

147106320 has 160 divisors (see below), whose sum is σ = 472469760. Its totient is φ = 37847040.

The previous prime is 147106307. The next prime is 147106343. The reversal of 147106320 is 23601741.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1516512 + ... + 1516608.

It is an arithmetic number, because the mean of its divisors is an integer number (2952936).

Almost surely, 2147106320 is an apocalyptic number.

147106320 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 147106320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236234880).

147106320 is an abundant number, since it is smaller than the sum of its proper divisors (325363440).

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

147106320 is a wasteful number, since it uses less digits than its factorization.

147106320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 147106320 is about 12128.7394233696. The cubic root of 147106320 is about 527.8904157335.

The spelling of 147106320 in words is "one hundred forty-seven million, one hundred six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 89 97 120 142 178 194 213 240 267 284 291 355 356 388 426 445 485 534 568 582 710 712 776 852 890 970 1065 1068 1136 1164 1335 1420 1424 1455 1552 1704 1780 1940 2130 2136 2328 2670 2840 2910 3408 3560 3880 4260 4272 4656 5340 5680 5820 6319 6887 7120 7760 8520 8633 10680 11640 12638 13774 17040 17266 18957 20661 21360 23280 25276 25899 27548 31595 34435 34532 37914 41322 43165 50552 51798 55096 63190 68870 69064 75828 82644 86330 94785 101104 103305 103596 110192 126380 129495 137740 138128 151656 165288 172660 189570 206610 207192 252760 258990 275480 303312 330576 345320 379140 413220 414384 505520 517980 550960 612943 690640 758280 826440 1035960 1225886 1516560 1652880 1838829 2071920 2451772 3064715 3677658 4903544 6129430 7355316 9194145 9807088 12258860 14710632 18388290 24517720 29421264 36776580 49035440 73553160 147106320