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2540253150 = 234523120233
BaseRepresentation
bin1001011101101001…
…0010111111011110
320120000221020020000
42113122102333132
520200301100100
61100022235130
7116643536601
oct22732227736
96500836200
102540253150
1110939a7876
125aa885aa6
13316384296
141a152c338
15ed02c900
hex97692fde

2540253150 has 120 divisors (see below), whose sum is σ = 7286182464. Its totient is φ = 655516800.

The previous prime is 2540253139. The next prime is 2540253151. The reversal of 2540253150 is 513520452.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540253151) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 115434 + ... + 135666.

Almost surely, 22540253150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2540253150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3643091232).

2540253150 is an abundant number, since it is smaller than the sum of its proper divisors (4745929314).

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

2540253150 is a wasteful number, since it uses less digits than its factorization.

2540253150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20288 (or 20274 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 2540253150 is about 50400.9240986710. The cubic root of 2540253150 is about 1364.4543163586.

The spelling of 2540253150 in words is "two billion, five hundred forty million, two hundred fifty-three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 31 45 50 54 62 75 81 90 93 135 150 155 162 186 225 270 279 310 405 450 465 558 675 775 810 837 930 1350 1395 1550 1674 2025 2325 2511 2790 4050 4185 4650 5022 6975 8370 12555 13950 20233 20925 25110 40466 41850 60699 62775 101165 121398 125550 182097 202330 303495 364194 505825 546291 606990 627223 910485 1011650 1092582 1254446 1517475 1638873 1820970 1881669 2731455 3034950 3136115 3277746 3763338 4552425 5462910 5645007 6272230 8194365 9104850 9408345 11290014 13657275 15680575 16388730 16935021 18816690 27314550 28225035 31361150 33870042 40971825 47041725 50805063 56450070 81943650 84675105 94083450 101610126 141125175 169350210 254025315 282250350 423375525 508050630 846751050 1270126575 2540253150