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1361272950 = 2325261101491
BaseRepresentation
bin101000100100011…
…0110000001110110
310111212110211102200
41101020312001312
510241441213300
6343024445330
745506425542
oct12110660166
93455424380
101361272950
11639448574
1231ba79846
1318903c46b
14ccb10a22
157e795200
hex51236076

1361272950 has 144 divisors (see below), whose sum is σ = 3761692272. Its totient is φ = 352800000.

The previous prime is 1361272933. The next prime is 1361272951. The reversal of 1361272950 is 592721631.

1361272950 is a `hidden beast` number, since 1 + 361 + 2 + 7 + 295 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361272951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2772205 + ... + 2772695.

It is an arithmetic number, because the mean of its divisors is an integer number (26122863).

Almost surely, 21361272950 is an apocalyptic number.

1361272950 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 1361272950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880846136).

1361272950 is an abundant number, since it is smaller than the sum of its proper divisors (2400419322).

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

1361272950 is a wasteful number, since it uses less digits than its factorization.

1361272950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1361272950 is about 36895.4326441634. The cubic root of 1361272950 is about 1108.2772155178.

The spelling of 1361272950 in words is "one billion, three hundred sixty-one million, two hundred seventy-two thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 61 75 90 101 122 150 183 202 225 303 305 366 450 491 505 549 606 610 909 915 982 1010 1098 1473 1515 1525 1818 1830 2455 2525 2745 2946 3030 3050 4419 4545 4575 4910 5050 5490 6161 7365 7575 8838 9090 9150 12275 12322 13725 14730 15150 18483 22095 22725 24550 27450 29951 30805 36825 36966 44190 45450 49591 55449 59902 61610 73650 89853 92415 99182 110475 110898 148773 149755 154025 179706 184830 220950 247955 269559 277245 297546 299510 308050 446319 449265 462075 495910 539118 554490 743865 748775 892638 898530 924150 1239775 1347795 1386225 1487730 1497550 2231595 2246325 2479550 2695590 2772450 3025051 3719325 4463190 4492650 6050102 6738975 7438650 9075153 11157975 13477950 15125255 18150306 22315950 27225459 30250510 45375765 54450918 75626275 90751530 136127295 151252550 226878825 272254590 453757650 680636475 1361272950