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742140 = 2232571931
BaseRepresentation
bin10110101001011111100
31101201000200
42311023330
5142222030
623523500
76210450
oct2651374
91351020
10742140
11467643
122b9590
131cca49
14154660
15e9d60
hexb52fc

742140 has 144 divisors (see below), whose sum is σ = 2795520. Its totient is φ = 155520.

The previous prime is 742127. The next prime is 742151. The reversal of 742140 is 41247.

742140 = T134 + T135 + ... + T189.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

742140 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23925 + ... + 23955.

2742140 is an apocalyptic number.

742140 is a gapful number since it is divisible by the number (70) 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 742140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397760).

742140 is an abundant number, since it is smaller than the sum of its proper divisors (2053380).

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

742140 is a wasteful number, since it uses less digits than its factorization.

742140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 742140 is about 861.4754784670. The cubic root of 742140 is about 90.5375239934.

Adding to 742140 its reverse (41247), we get a palindrome (783387).

The spelling of 742140 in words is "seven hundred forty-two thousand, one hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 31 35 36 38 42 45 57 60 62 63 70 76 84 90 93 95 105 114 124 126 133 140 155 171 180 186 190 210 217 228 252 266 279 285 310 315 342 372 380 399 420 434 465 532 558 570 589 620 630 651 665 684 798 855 868 930 1085 1116 1140 1178 1197 1260 1302 1330 1395 1596 1710 1767 1860 1953 1995 2170 2356 2394 2604 2660 2790 2945 3255 3420 3534 3906 3990 4123 4340 4788 5301 5580 5890 5985 6510 7068 7812 7980 8246 8835 9765 10602 11780 11970 12369 13020 16492 17670 19530 20615 21204 23940 24738 26505 35340 37107 39060 41230 49476 53010 61845 74214 82460 106020 123690 148428 185535 247380 371070 742140