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1233134490 = 235727511117
BaseRepresentation
bin100100110000000…
…0010001110011010
310011221100201111210
41021200002032122
510011140300430
6322210203550
742362320200
oct11140021632
93157321453
101233134490
11583088215
122a4b835b6
131686260a3
14b9ab7070
15733d32b0
hex4980239a

1233134490 has 96 divisors (see below), whose sum is σ = 3450380544. Its totient is φ = 281232000.

The previous prime is 1233134479. The next prime is 1233134503. The reversal of 1233134490 is 944313321.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1103412 + ... + 1104528.

It is an arithmetic number, because the mean of its divisors is an integer number (35941464).

Almost surely, 21233134490 is an apocalyptic number.

1233134490 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 1233134490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725190272).

1233134490 is an abundant number, since it is smaller than the sum of its proper divisors (2217246054).

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

1233134490 is a wasteful number, since it uses less digits than its factorization.

1233134490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 1233134490 is about 35116.0147226305. The cubic root of 1233134490 is about 1072.3506391076.

The spelling of 1233134490 in words is "one billion, two hundred thirty-three million, one hundred thirty-four thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 751 1117 1470 1502 2234 2253 3351 3755 4506 5257 5585 6702 7510 7819 10514 11170 11265 15638 15771 16755 22530 23457 26285 31542 33510 36799 39095 46914 52570 54733 73598 78190 78855 109466 110397 117285 157710 164199 183995 220794 234570 273665 328398 367990 547330 551985 820995 838867 1103970 1641990 1677734 2516601 4194335 5033202 5872069 8388670 11744138 12583005 17616207 25166010 29360345 35232414 41104483 58720690 82208966 88081035 123313449 176162070 205522415 246626898 411044830 616567245 1233134490