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153309870 = 23257376577
BaseRepresentation
bin10010010001101…
…01001010101110
3101200110221121100
421020311022232
5303221403440
623113543530
73541053360
oct1110651256
9350427540
10153309870
11795a2a7a
1243414ba6
13259ba5cc
141650ad30
15d6d5230
hex92352ae

153309870 has 96 divisors (see below), whose sum is σ = 467932608. Its totient is φ = 34089984.

The previous prime is 153309853. The next prime is 153309883. The reversal of 153309870 is 78903351.

It is a Curzon number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 20022 + ... + 26598.

It is an arithmetic number, because the mean of its divisors is an integer number (4874298).

Almost surely, 2153309870 is an apocalyptic number.

153309870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 153309870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233966304).

153309870 is an abundant number, since it is smaller than the sum of its proper divisors (314622738).

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

153309870 is a wasteful number, since it uses less digits than its factorization.

153309870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6634 (or 6631 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 153309870 is about 12381.8362935390. The cubic root of 153309870 is about 535.2089555567.

It can be divided in two parts, 15330 and 9870, that added together give a triangular number (25200 = T224).

The spelling of 153309870 in words is "one hundred fifty-three million, three hundred nine thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 37 42 45 63 70 74 90 105 111 126 185 210 222 259 315 333 370 518 555 630 666 777 1110 1295 1554 1665 2331 2590 3330 3885 4662 6577 7770 11655 13154 19731 23310 32885 39462 46039 59193 65770 92078 98655 118386 138117 197310 230195 243349 276234 295965 414351 460390 486698 591930 690585 730047 828702 1216745 1381170 1460094 1703443 2071755 2190141 2433490 3406886 3650235 4143510 4380282 5110329 7300470 8517215 10220658 10950705 15330987 17034430 21901410 25551645 30661974 51103290 76654935 153309870