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95142320 = 24572131867
BaseRepresentation
bin1011010101111…
…00000110110000
320122000201201122
411222330012300
5143324023240
613235121412
72233460600
oct552740660
9218021648
1095142320
1149783919
1227a43268
1316932740
14c8c8c00
1585454b5
hex5abc1b0

95142320 has 120 divisors (see below), whose sum is σ = 277263504. Its totient is φ = 30094848.

The previous prime is 95142293. The next prime is 95142323. The reversal of 95142320 is 2324159.

It is a super-2 number, since 2×951423202 = 18104122109964800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 95142320.

It is not an unprimeable number, because it can be changed into a prime (95142323) 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 23 ways as a sum of consecutive naturals, for example, 50027 + ... + 51893.

Almost surely, 295142320 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 95142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138631752).

95142320 is an abundant number, since it is smaller than the sum of its proper divisors (182121184).

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

95142320 is a wasteful number, since it uses less digits than its factorization.

95142320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 95142320 is about 9754.0924744437. The cubic root of 95142320 is about 456.5180067972.

Adding to 95142320 its reverse (2324159), we get a palindrome (97466479).

The spelling of 95142320 in words is "ninety-five million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 49 52 56 65 70 80 91 98 104 112 130 140 182 196 208 245 260 280 364 392 455 490 520 560 637 728 784 910 980 1040 1274 1456 1820 1867 1960 2548 3185 3640 3734 3920 5096 6370 7280 7468 9335 10192 12740 13069 14936 18670 24271 25480 26138 29872 37340 48542 50960 52276 65345 74680 91483 97084 104552 121355 130690 149360 169897 182966 194168 209104 242710 261380 339794 365932 388336 457415 485420 522760 679588 731864 849485 914830 970840 1045520 1189279 1359176 1463728 1698970 1829660 1941680 2378558 2718352 3397940 3659320 4757116 5946395 6795880 7318640 9514232 11892790 13591760 19028464 23785580 47571160 95142320