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193695138 = 23472131877
BaseRepresentation
bin10111000101110…
…00110110100010
3111111110201210000
423202320312202
5344041221023
631115320430
74541244600
oct1342706642
9444421700
10193695138
119a37702a
1254a50116
133118a610
141ba20870
1512011243
hexb8b8da2

193695138 has 120 divisors (see below), whose sum is σ = 544007772. Its totient is φ = 51057216.

The previous prime is 193695113. The next prime is 193695149. The reversal of 193695138 is 831596391.

193695138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 190357209 + 3337929 = 13797^2 + 1827^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 193695093 and 193695102.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 102256 + ... + 104132.

Almost surely, 2193695138 is an apocalyptic number.

193695138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 193695138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272003886).

193695138 is an abundant number, since it is smaller than the sum of its proper divisors (350312634).

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

193695138 is a wasteful number, since it uses less digits than its factorization.

193695138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1902 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The square root of 193695138 is about 13917.4400663340. The cubic root of 193695138 is about 578.5926421381.

The spelling of 193695138 in words is "one hundred ninety-three million, six hundred ninety-five thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 63 78 81 91 98 117 126 147 162 182 189 234 273 294 351 378 441 546 567 637 702 819 882 1053 1134 1274 1323 1638 1877 1911 2106 2457 2646 3754 3822 3969 4914 5631 5733 7371 7938 11262 11466 13139 14742 16893 17199 24401 26278 33786 34398 39417 48802 50679 51597 73203 78834 91973 101358 103194 118251 146406 152037 170807 183946 219609 236502 275919 304074 341614 354753 439218 512421 551838 658827 709506 827757 1024842 1064259 1195649 1317654 1537263 1655514 1976481 2128518 2391298 2483271 3074526 3586947 3952962 4611789 4966542 7173894 7449813 9223578 10760841 13835367 14899626 21521682 27670734 32282523 64565046 96847569 193695138