Search a number
-
+
95501980 = 225721923223
BaseRepresentation
bin1011011000100…
…11111010011100
320122201000002101
411230103322130
5143422030410
613250534444
72236516300
oct554237234
9218630071
1095501980
11499aa062
1227b97424
1316a2a362
14c97dd00
1585b6d3a
hex5b13e9c

95501980 has 144 divisors (see below), whose sum is σ = 257402880. Its totient is φ = 29538432.

The previous prime is 95501977. The next prime is 95501981. The reversal of 95501980 is 8910559.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95501981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 428149 + ... + 428371.

It is an arithmetic number, because the mean of its divisors is an integer number (1787520).

Almost surely, 295501980 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 95501980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128701440).

95501980 is an abundant number, since it is smaller than the sum of its proper divisors (161900900).

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

95501980 is a wasteful number, since it uses less digits than its factorization.

95501980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 37.

The square root of 95501980 is about 9772.5114479339. The cubic root of 95501980 is about 457.0925313833.

The spelling of 95501980 in words is "ninety-five million, five hundred one thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 19 20 23 28 35 38 46 49 70 76 92 95 98 115 133 140 161 190 196 223 230 245 266 322 380 437 446 460 490 532 644 665 805 874 892 931 980 1115 1127 1330 1561 1610 1748 1862 2185 2230 2254 2660 3059 3122 3220 3724 4237 4370 4460 4508 4655 5129 5635 6118 6244 7805 8474 8740 9310 10258 10927 11270 12236 15295 15610 16948 18620 20516 21185 21413 21854 22540 25645 29659 30590 31220 35903 42370 42826 43708 51290 54635 59318 61180 71806 84740 85652 97451 102580 107065 109270 118636 143612 148295 179515 194902 207613 214130 218540 251321 296590 359030 389804 415226 428260 487255 502642 593180 682157 718060 830452 974510 1005284 1038065 1256605 1364314 1949020 2076130 2513210 2728628 3410785 4152260 4775099 5026420 6821570 9550198 13643140 19100396 23875495 47750990 95501980