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135383248 = 247111379107
BaseRepresentation
bin10000001000111…
…00100011010000
3100102202011220101
420010130203100
5234124230443
621233422144
73232511230
oct1004344320
9312664811
10135383248
116a469490
123940a954
1322081b40
1413da1cc0
15bd4384d
hex811c8d0

135383248 has 160 divisors (see below), whose sum is σ = 359976960. Its totient is φ = 47623680.

The previous prime is 135383243. The next prime is 135383251. The reversal of 135383248 is 842383531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135383243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1265211 + ... + 1265317.

It is an arithmetic number, because the mean of its divisors is an integer number (2249856).

Almost surely, 2135383248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135383248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179988480).

135383248 is an abundant number, since it is smaller than the sum of its proper divisors (224593712).

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

135383248 is a wasteful number, since it uses less digits than its factorization.

135383248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The square root of 135383248 is about 11635.4307182846. The cubic root of 135383248 is about 513.4777659961.

It can be divided in two parts, 135 and 383248, that added together give a palindrome (383383).

The spelling of 135383248 in words is "one hundred thirty-five million, three hundred eighty-three thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 79 88 91 104 107 112 143 154 158 176 182 208 214 286 308 316 364 428 553 572 616 632 728 749 856 869 1001 1027 1106 1144 1177 1232 1264 1391 1456 1498 1712 1738 2002 2054 2212 2288 2354 2782 2996 3476 4004 4108 4424 4708 5564 5992 6083 6952 7189 8008 8216 8239 8453 8848 9416 9737 11128 11297 11984 12166 13904 14378 15301 16016 16432 16478 16906 18832 19474 22256 22594 24332 28756 30602 32956 33812 38948 45188 48664 57512 59171 61204 65912 67624 77896 79079 90376 92983 97328 107107 109889 115024 118342 122408 131824 135248 155792 158158 180752 185966 214214 219778 236684 244816 316316 371932 428428 439556 473368 632632 650881 743864 769223 856856 879112 946736 1208779 1265264 1301762 1487728 1538446 1713712 1758224 2417558 2603524 3076892 4835116 5207048 6153784 8461453 9670232 10414096 12307568 16922906 19340464 33845812 67691624 135383248