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1148640240 = 2435112318917
BaseRepresentation
bin100010001110110…
…1101101111110000
32222001100222012010
41010131231233300
54323022441430
6305551202520
740315165236
oct10435555760
92861328163
101148640240
1153a417460
12280816440
13153c811a7
14ac7a0956
156ac92cb0
hex4476dbf0

1148640240 has 160 divisors (see below), whose sum is σ = 4053597696. Its totient is φ = 266337280.

The previous prime is 1148640223. The next prime is 1148640253. The reversal of 1148640240 is 420468411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1148640198 and 1148640207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51262 + ... + 70178.

Almost surely, 21148640240 is an apocalyptic number.

1148640240 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 1148640240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026798848).

1148640240 is an abundant number, since it is smaller than the sum of its proper divisors (2904957456).

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

1148640240 is a wasteful number, since it uses less digits than its factorization.

1148640240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18967 (or 18961 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 1148640240 is about 33891.5954183334. The cubic root of 1148640240 is about 1047.2764609395.

The spelling of 1148640240 in words is "one billion, one hundred forty-eight million, six hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 23 24 30 33 40 44 46 48 55 60 66 69 80 88 92 110 115 120 132 138 165 176 184 220 230 240 253 264 276 330 345 368 440 460 506 528 552 660 690 759 880 920 1012 1104 1265 1320 1380 1518 1840 2024 2530 2640 2760 3036 3795 4048 5060 5520 6072 7590 10120 12144 15180 18917 20240 30360 37834 56751 60720 75668 94585 113502 151336 189170 208087 227004 283755 302672 378340 416174 435091 454008 567510 624261 756680 832348 870182 908016 1040435 1135020 1248522 1305273 1513360 1664696 1740364 2080870 2175455 2270040 2497044 2610546 3121305 3329392 3480728 4161740 4350910 4540080 4786001 4994088 5221092 6242610 6526365 6961456 8323480 8701820 9572002 9988176 10442184 12485220 13052730 14358003 16646960 17403640 19144004 20884368 23930005 24970440 26105460 28716006 34807280 38288008 47860010 49940880 52210920 57432012 71790015 76576016 95720020 104421840 114864024 143580030 191440040 229728048 287160060 382880080 574320120 1148640240