Search a number
-
+
1397632194 = 23272672353
BaseRepresentation
bin101001101001110…
…0010110011000010
310121101220001221100
41103103202303002
510330243212234
6350404035230
746430451300
oct12323426302
93541801840
101397632194
11657a21832
12330092b16
1319372caca
14d3897270
1582a78399
hex534e2cc2

1397632194 has 108 divisors (see below), whose sum is σ = 3586094694. Its totient is φ = 392249088.

The previous prime is 1397632193. The next prime is 1397632199. The reversal of 1397632194 is 4912367931.

1397632194 is a `hidden beast` number, since 1 + 3 + 9 + 7 + 632 + 1 + 9 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1237280625 + 160351569 = 35175^2 + 12663^2 .

Its product of digits (244944) is a multiple of the sum of its prime divisors (432).

It is not an unprimeable number, because it can be changed into a prime (1397632193) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3959122 + ... + 3959474.

Almost surely, 21397632194 is an apocalyptic number.

1397632194 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1397632194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793047347).

1397632194 is an abundant number, since it is smaller than the sum of its proper divisors (2188462500).

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

1397632194 is a wasteful number, since it uses less digits than its factorization.

1397632194 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 432 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 1397632194 is about 37384.9193392202. The cubic root of 1397632194 is about 1118.0579103881.

The spelling of 1397632194 in words is "one billion, three hundred ninety-seven million, six hundred thirty-two thousand, one hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 67 98 126 134 147 201 294 353 402 441 469 603 706 882 938 1059 1206 1407 2118 2471 2814 3177 3283 4221 4489 4942 6354 6566 7413 8442 8978 9849 13467 14826 17297 19698 22239 23651 26934 29547 31423 34594 40401 44478 47302 51891 59094 62846 70953 80802 94269 103782 141906 155673 165557 188538 212859 219961 282807 311346 331114 425718 439922 496671 565614 659883 993342 1158899 1319766 1490013 1584617 1979649 2317798 2980026 3169234 3476697 3959298 4753851 6953394 9507702 10430091 11092319 14261553 20860182 22184638 28523106 33276957 66553914 77646233 99830871 155292466 199661742 232938699 465877398 698816097 1397632194