Search a number
-
+
100159020 = 2232513231861
BaseRepresentation
bin1011111100001…
…00111000101100
320222110121100100
411332010320230
5201120042040
613534431100
72324223543
oct576047054
9228417310
10100159020
115159aa55
1229662490
131799acc0
14d43315a
158bd6b30
hex5f84e2c

100159020 has 144 divisors (see below), whose sum is σ = 341595072. Its totient is φ = 23569920.

The previous prime is 100159009. The next prime is 100159027. The reversal of 100159020 is 20951001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100158984 and 100159002.

It is not an unprimeable number, because it can be changed into a prime (100159027) 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, 52890 + ... + 54750.

It is an arithmetic number, because the mean of its divisors is an integer number (2372188).

Almost surely, 2100159020 is an apocalyptic number.

100159020 is a gapful number since it is divisible by the number (10) 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 100159020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170797536).

100159020 is an abundant number, since it is smaller than the sum of its proper divisors (241436052).

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

100159020 is a wasteful number, since it uses less digits than its factorization.

100159020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 100159020 is about 10007.9478415907. The cubic root of 100159020 is about 464.4047882134.

The spelling of 100159020 in words is "one hundred million, one hundred fifty-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 23 26 30 36 39 45 46 52 60 65 69 78 90 92 115 117 130 138 156 180 195 207 230 234 260 276 299 345 390 414 460 468 585 598 690 780 828 897 1035 1170 1196 1380 1495 1794 1861 2070 2340 2691 2990 3588 3722 4140 4485 5382 5583 5980 7444 8970 9305 10764 11166 13455 16749 17940 18610 22332 24193 26910 27915 33498 37220 42803 48386 53820 55830 66996 72579 83745 85606 96772 111660 120965 128409 145158 167490 171212 214015 217737 241930 256818 290316 334980 362895 385227 428030 435474 483860 513636 556439 642045 725790 770454 856060 870948 1088685 1112878 1284090 1451580 1540908 1669317 1926135 2177370 2225756 2568180 2782195 3338634 3852270 4354740 5007951 5564390 6677268 7704540 8346585 10015902 11128780 16693170 20031804 25039755 33386340 50079510 100159020