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661067000 = 235311193163
BaseRepresentation
bin100111011001110…
…001010011111000
31201001220200102222
4213121301103320
52323213121000
6145332543212
722244656016
oct4731612370
91631820388
10661067000
1130a178470
12165481b08
13a6c5a409
1463b218b6
153d081a85
hex276714f8

661067000 has 128 divisors (see below), whose sum is σ = 1776902400. Its totient is φ = 227664000.

The previous prime is 661066979. The next prime is 661067021. The reversal of 661067000 is 760166.

It is an interprime number because it is at equal distance from previous prime (661066979) and next prime (661067021).

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, 207419 + ... + 210581.

It is an arithmetic number, because the mean of its divisors is an integer number (13882050).

Almost surely, 2661067000 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 661067000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888451200).

661067000 is an abundant number, since it is smaller than the sum of its proper divisors (1115835400).

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

661067000 is a wasteful number, since it uses less digits than its factorization.

661067000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3214 (or 3200 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 661067000 is about 25711.2232303327. The cubic root of 661067000 is about 871.1277048405.

The spelling of 661067000 in words is "six hundred sixty-one million, sixty-seven thousand".

Divisors: 1 2 4 5 8 10 11 19 20 22 25 38 40 44 50 55 76 88 95 100 110 125 152 190 200 209 220 250 275 380 418 440 475 500 550 760 836 950 1000 1045 1100 1375 1672 1900 2090 2200 2375 2750 3163 3800 4180 4750 5225 5500 6326 8360 9500 10450 11000 12652 15815 19000 20900 25304 26125 31630 34793 41800 52250 60097 63260 69586 79075 104500 120194 126520 139172 158150 173965 209000 240388 278344 300485 316300 347930 395375 480776 600970 632600 661067 695860 790750 869825 1201940 1322134 1391720 1502425 1581500 1739650 2403880 2644268 3004850 3163000 3305335 3479300 4349125 5288536 6009700 6610670 6958600 7512125 8698250 12019400 13221340 15024250 16526675 17396500 26442680 30048500 33053350 34793000 60097000 66106700 82633375 132213400 165266750 330533500 661067000