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1149147900 = 22325210711933
BaseRepresentation
bin100010001111110…
…1001101011111100
32222002022202120100
41010133221223330
54323140213100
6310010121100
740322411265
oct10437515374
92862282510
101149147900
1153a73390a
12280a20190
131540cb294
14ac89396c
156ad43400
hex447e9afc

1149147900 has 108 divisors (see below), whose sum is σ = 3635907912. Its totient is φ = 303550080.

The previous prime is 1149147899. The next prime is 1149147931. The reversal of 1149147900 is 97419411.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 90334 + ... + 102266.

It is an arithmetic number, because the mean of its divisors is an integer number (33665814).

Almost surely, 21149147900 is an apocalyptic number.

1149147900 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 1149147900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817953956).

1149147900 is an abundant number, since it is smaller than the sum of its proper divisors (2486760012).

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

1149147900 is a wasteful number, since it uses less digits than its factorization.

1149147900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12060 (or 12050 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 1149147900 is about 33899.0840584226. The cubic root of 1149147900 is about 1047.4307250986.

The spelling of 1149147900 in words is "one billion, one hundred forty-nine million, one hundred forty-seven thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 107 150 180 214 225 300 321 428 450 535 642 900 963 1070 1284 1605 1926 2140 2675 3210 3852 4815 5350 6420 8025 9630 10700 11933 16050 19260 23866 24075 32100 35799 47732 48150 59665 71598 96300 107397 119330 143196 178995 214794 238660 298325 357990 429588 536985 596650 715980 894975 1073970 1193300 1276831 1789950 2147940 2553662 2684925 3579900 3830493 5107324 5369850 6384155 7660986 10739700 11491479 12768310 15321972 19152465 22982958 25536620 31920775 38304930 45965916 57457395 63841550 76609860 95762325 114914790 127683100 191524650 229829580 287286975 383049300 574573950 1149147900