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1330969950 = 2325217199157
BaseRepresentation
bin100111101010100…
…1111110101011110
310102202110021112100
41033111033311132
510211212014300
6340023145530
744661025602
oct11725176536
93382407470
101330969950
11623330472
123118a52a6
1318298c5ab
14c8aa3502
157bcab700
hex4f54fd5e

1330969950 has 144 divisors (see below), whose sum is σ = 3985927920. Its totient is φ = 316431360.

The previous prime is 1330969889. The next prime is 1330969951. The reversal of 1330969950 is 599690331.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1330969896 and 1330969905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330969951) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 140772 + ... + 149928.

It is an arithmetic number, because the mean of its divisors is an integer number (27680055).

Almost surely, 21330969950 is an apocalyptic number.

1330969950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330969950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992963960).

1330969950 is an abundant number, since it is smaller than the sum of its proper divisors (2654957970).

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

1330969950 is a wasteful number, since it uses less digits than its factorization.

1330969950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9211 (or 9203 counting only the distinct ones).

The product of its (nonzero) digits is 196830, while the sum is 45.

The square root of 1330969950 is about 36482.4608544983. The cubic root of 1330969950 is about 1099.9917217008.

The spelling of 1330969950 in words is "one billion, three hundred thirty million, nine hundred sixty-nine thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 19 25 30 34 38 45 50 51 57 75 85 90 95 102 114 150 153 170 171 190 225 255 285 306 323 342 425 450 475 510 570 646 765 850 855 950 969 1275 1425 1530 1615 1710 1938 2550 2850 2907 3230 3825 4275 4845 5814 7650 8075 8550 9157 9690 14535 16150 18314 24225 27471 29070 45785 48450 54942 72675 82413 91570 137355 145350 155669 164826 173983 228925 274710 311338 347966 412065 457850 467007 521949 686775 778345 824130 869915 934014 1043898 1373550 1401021 1556690 1565847 1739830 2060325 2335035 2609745 2802042 2957711 3131694 3891725 4120650 4349575 4670070 5219490 5915422 7005105 7783450 7829235 8699150 8873133 11675175 13048725 14010210 14788555 15658470 17746266 23350350 26097450 26619399 29577110 35025525 39146175 44365665 53238798 70051050 73942775 78292350 88731330 133096995 147885550 221828325 266193990 443656650 665484975 1330969950