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1149304680 = 233351956009
BaseRepresentation
bin100010010000000…
…1111111101101000
32222002121201122000
41010200033331220
54323210222210
6310013331000
740323633336
oct10440177550
92862551560
101149304680
1153a830687
12280a96a60
13154154754
14ac8d4b56
156ad74ac0
hex4480ff68

1149304680 has 128 divisors (see below), whose sum is σ = 4032720000. Its totient is φ = 290345472.

The previous prime is 1149304657. The next prime is 1149304727. The reversal of 1149304680 is 864039411.

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

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, 7485 + ... + 48524.

It is an arithmetic number, because the mean of its divisors is an integer number (31505625).

Almost surely, 21149304680 is an apocalyptic number.

1149304680 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 1149304680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016360000).

1149304680 is an abundant number, since it is smaller than the sum of its proper divisors (2883415320).

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

1149304680 is a wasteful number, since it uses less digits than its factorization.

1149304680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56048 (or 56038 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1149304680 is about 33901.3964314156. The cubic root of 1149304680 is about 1047.4783571228.

The spelling of 1149304680 in words is "one billion, one hundred forty-nine million, three hundred four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 285 342 360 380 456 513 540 570 684 760 855 1026 1080 1140 1368 1710 2052 2280 2565 3420 4104 5130 6840 10260 20520 56009 112018 168027 224036 280045 336054 448072 504081 560090 672108 840135 1008162 1064171 1120180 1344216 1512243 1680270 2016324 2128342 2240360 2520405 3024486 3192513 3360540 4032648 4256684 5040810 5320855 6048972 6385026 6721080 7561215 8513368 9577539 10081620 10641710 12097944 12770052 15122430 15962565 19155078 20163240 21283420 25540104 28732617 30244860 31925130 38310156 42566840 47887695 57465234 60489720 63850260 76620312 95775390 114930468 127700520 143663085 191550780 229860936 287326170 383101560 574652340 1149304680