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61674480 = 2433574079
BaseRepresentation
bin1110101101000…
…1001111110000
311022001101111000
43223101033300
5111242040410
610041522000
71346136660
oct353211760
9138041430
1061674480
11318a4a4a
12187a3300
13ca1519a
1482961a0
155633dc0
hex3ad13f0

61674480 has 160 divisors (see below), whose sum is σ = 242841600. Its totient is φ = 14093568.

The previous prime is 61674461. The next prime is 61674491. The reversal of 61674480 is 8447616.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13081 + ... + 17159.

It is an arithmetic number, because the mean of its divisors is an integer number (1517760).

Almost surely, 261674480 is an apocalyptic number.

61674480 is a gapful number since it is divisible by the number (60) 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 61674480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121420800).

61674480 is an abundant number, since it is smaller than the sum of its proper divisors (181167120).

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

61674480 is a wasteful number, since it uses less digits than its factorization.

61674480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4108 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 61674480 is about 7853.3101301298. The cubic root of 61674480 is about 395.0952715767.

It can be divided in two parts, 61 and 674480, that added together give a triangular number (674541 = T1161).

The spelling of 61674480 in words is "sixty-one million, six hundred seventy-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 4079 5040 7560 8158 12237 15120 16316 20395 24474 28553 32632 36711 40790 48948 57106 61185 65264 73422 81580 85659 97896 110133 114212 122370 142765 146844 163160 171318 183555 195792 220266 228424 244740 256977 285530 293688 326320 342636 367110 428295 440532 456848 489480 513954 550665 571060 587376 685272 734220 770931 856590 881064 978960 1027908 1101330 1142120 1284885 1370544 1468440 1541862 1713180 1762128 2055816 2202660 2284240 2569770 2936880 3083724 3426360 3854655 4111632 4405320 5139540 6167448 6852720 7709310 8810640 10279080 12334896 15418620 20558160 30837240 61674480