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2500157000 = 2353111671361
BaseRepresentation
bin1001010100000101…
…0101111001001000
320110020111010122102
42111001111321020
520110020011000
61052031012532
7115645661315
oct22501257110
96406433572
102500157000
111073300a60
1259936a148
1330ac85a53
1419a091d0c
15e975c3d5
hex95055e48

2500157000 has 128 divisors (see below), whose sum is σ = 6425153280. Its totient is φ = 903040000.

The previous prime is 2500156937. The next prime is 2500157021. The reversal of 2500157000 is 7510052.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1836320 + ... + 1837680.

It is an arithmetic number, because the mean of its divisors is an integer number (50196510).

Almost surely, 22500157000 is an apocalyptic number.

2500157000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2500157000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212576640).

2500157000 is an abundant number, since it is smaller than the sum of its proper divisors (3924996280).

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

2500157000 is a wasteful number, since it uses less digits than its factorization.

2500157000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 20.

The square root of 2500157000 is about 50001.5699753518. The cubic root of 2500157000 is about 1357.2372186071.

Adding to 2500157000 its reverse (7510052), we get a palindrome (2507667052).

The spelling of 2500157000 in words is "two billion, five hundred million, one hundred fifty-seven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 167 200 220 250 275 334 440 500 550 668 835 1000 1100 1336 1361 1375 1670 1837 2200 2722 2750 3340 3674 4175 5444 5500 6680 6805 7348 8350 9185 10888 11000 13610 14696 14971 16700 18370 20875 27220 29942 33400 34025 36740 41750 45925 54440 59884 68050 73480 74855 83500 91850 119768 136100 149710 167000 170125 183700 227287 229625 272200 299420 340250 367400 374275 454574 459250 598840 680500 748550 909148 918500 1136435 1361000 1497100 1818296 1837000 1871375 2272870 2500157 2994200 3742750 4545740 5000314 5682175 7485500 9091480 10000628 11364350 12500785 14971000 20001256 22728700 25001570 28410875 45457400 50003140 56821750 62503925 100006280 113643500 125007850 227287000 250015700 312519625 500031400 625039250 1250078500 2500157000