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1349122950 = 232527538081
BaseRepresentation
bin101000001101001…
…1111101110000110
310111000121112202200
41100122133232012
510230333413300
6341512215330
745301233030
oct12032375606
93430545680
101349122950
116325aa04a
1231799a546
13186677106
14cb26ac50
157d695200
hex5069fb86

1349122950 has 144 divisors (see below), whose sum is σ = 4221131616. Its totient is φ = 302515200.

The previous prime is 1349122877. The next prime is 1349122967. The reversal of 1349122950 is 592219431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 162910 + ... + 170990.

It is an arithmetic number, because the mean of its divisors is an integer number (29313414).

Almost surely, 21349122950 is an apocalyptic number.

1349122950 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 1349122950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2110565808).

1349122950 is an abundant number, since it is smaller than the sum of its proper divisors (2872008666).

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

1349122950 is a wasteful number, since it uses less digits than its factorization.

1349122950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8159 (or 8151 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1349122950 is about 36730.4090638806. The cubic root of 1349122950 is about 1104.9700584968.

The spelling of 1349122950 in words is "one billion, three hundred forty-nine million, one hundred twenty-two thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 53 63 70 75 90 105 106 126 150 159 175 210 225 265 315 318 350 371 450 477 525 530 630 742 795 954 1050 1113 1325 1575 1590 1855 2226 2385 2650 3150 3339 3710 3975 4770 5565 6678 7950 8081 9275 11130 11925 16162 16695 18550 23850 24243 27825 33390 40405 48486 55650 56567 72729 80810 83475 113134 121215 145458 166950 169701 202025 242430 282835 339402 363645 404050 428293 509103 565670 606075 727290 848505 856586 1018206 1212150 1284879 1414175 1697010 1818225 2141465 2545515 2569758 2828350 2998051 3636450 3854637 4242525 4282930 5091030 5996102 6424395 7709274 8485050 8994153 10707325 12727575 12848790 14990255 17988306 19273185 21414650 25455150 26982459 29980510 32121975 38546370 44970765 53964918 64243950 74951275 89941530 96365925 134912295 149902550 192731850 224853825 269824590 449707650 674561475 1349122950