Search a number
-
+
153071370 = 2345593203
BaseRepresentation
bin10010001111110…
…10111100001010
3101200000211110000
421013322330022
5303141240440
623104503430
73536041134
oct1107727412
9350024400
10153071370
117944a871
124331ab76
1325935b9a
1416488054
15d689730
hex91faf0a

153071370 has 80 divisors (see below), whose sum is σ = 418698720. Its totient is φ = 40114656.

The previous prime is 153071329. The next prime is 153071393. The reversal of 153071370 is 73170351.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46189 + ... + 49391.

It is an arithmetic number, because the mean of its divisors is an integer number (5233734).

Almost surely, 2153071370 is an apocalyptic number.

153071370 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 153071370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209349360).

153071370 is an abundant number, since it is smaller than the sum of its proper divisors (265627350).

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

153071370 is a wasteful number, since it uses less digits than its factorization.

153071370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3281 (or 3272 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 27.

The square root of 153071370 is about 12372.2015017538. The cubic root of 153071370 is about 534.9312748358.

It can be divided in two parts, 1530 and 71370, that added together give a square (72900 = 2702).

The spelling of 153071370 in words is "one hundred fifty-three million, seventy-one thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 81 90 118 135 162 177 270 295 354 405 531 590 810 885 1062 1593 1770 2655 3186 3203 4779 5310 6406 7965 9558 9609 15930 16015 19218 23895 28827 32030 47790 48045 57654 86481 96090 144135 172962 188977 259443 288270 377954 432405 518886 566931 864810 944885 1133862 1297215 1700793 1889770 2594430 2834655 3401586 5102379 5669310 8503965 10204758 15307137 17007930 25511895 30614274 51023790 76535685 153071370