Search a number
-
+
153069700 = 225271719677
BaseRepresentation
bin10010001111110…
…10100010000100
3101200000202011011
421013322202010
5303141212300
623104452004
73536033230
oct1107724204
9350022134
10153069700
1179449593
124331a004
13259351b4
14164875c0
15d688eba
hex91fa884

153069700 has 144 divisors (see below), whose sum is σ = 423722880. Its totient is φ = 46725120.

The previous prime is 153069673. The next prime is 153069731. The reversal of 153069700 is 7960351.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225762 + ... + 226438.

It is an arithmetic number, because the mean of its divisors is an integer number (2942520).

Almost surely, 2153069700 is an apocalyptic number.

153069700 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 153069700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211861440).

153069700 is an abundant number, since it is smaller than the sum of its proper divisors (270653180).

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

153069700 is a wasteful number, since it uses less digits than its factorization.

153069700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 31.

The square root of 153069700 is about 12372.1340115600. The cubic root of 153069700 is about 534.9293294721.

The spelling of 153069700 in words is "one hundred fifty-three million, sixty-nine thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 17 19 20 25 28 34 35 38 50 68 70 76 85 95 100 119 133 140 170 175 190 238 266 323 340 350 380 425 475 476 532 595 646 665 677 700 850 950 1190 1292 1330 1354 1615 1700 1900 2261 2380 2660 2708 2975 3230 3325 3385 4522 4739 5950 6460 6650 6770 8075 9044 9478 11305 11509 11900 12863 13300 13540 16150 16925 18956 22610 23018 23695 25726 32300 33850 45220 46036 47390 51452 56525 57545 64315 67700 80563 90041 94780 113050 115090 118475 128630 161126 180082 218671 226100 230180 236950 257260 287725 321575 322252 360164 402815 437342 450205 473900 575450 643150 805630 874684 900410 1093355 1150900 1286300 1530697 1611260 1800820 2014075 2186710 2251025 3061394 4028150 4373420 4502050 5466775 6122788 7653485 8056300 9004100 10933550 15306970 21867100 30613940 38267425 76534850 153069700