Search a number
-
+
193990464 = 2634231627
BaseRepresentation
bin10111001000000…
…00111101000000
3111112000201220000
423210000331000
5344130143324
631125520000
74543614603
oct1344007500
9445021800
10193990464
119a5589a8
1254b73000
1331261b75
141ba9a33a
151206d9c9
hexb900f40

193990464 has 140 divisors (see below), whose sum is σ = 600419424. Its totient is φ = 61814016.

The previous prime is 193990453. The next prime is 193990469. The reversal of 193990464 is 464099391.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193990469) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 118419 + ... + 120045.

Almost surely, 2193990464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193990464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300209712).

193990464 is an abundant number, since it is smaller than the sum of its proper divisors (406428960).

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

193990464 is a wasteful number, since it uses less digits than its factorization.

193990464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 193990464 is about 13928.0459505273. The cubic root of 193990464 is about 578.8865519089.

The spelling of 193990464 in words is "one hundred ninety-three million, nine hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 138 144 162 184 192 207 216 276 288 324 368 414 432 552 576 621 648 736 828 864 1104 1242 1296 1472 1627 1656 1728 1863 2208 2484 2592 3254 3312 3726 4416 4881 4968 5184 6508 6624 7452 9762 9936 13016 13248 14643 14904 19524 19872 26032 29286 29808 37421 39048 39744 43929 52064 58572 59616 74842 78096 87858 104128 112263 117144 119232 131787 149684 156192 175716 224526 234288 263574 299368 312384 336789 351432 449052 468576 527148 598736 673578 702864 898104 937152 1010367 1054296 1197472 1347156 1405728 1796208 2020734 2108592 2394944 2694312 2811456 3031101 3592416 4041468 4217184 5388624 6062202 7184832 8082936 8434368 10777248 12124404 16165872 21554496 24248808 32331744 48497616 64663488 96995232 193990464