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121457070 = 2345731691
BaseRepresentation
bin1110011110101…
…00100110101110
322110112122210000
413033110212232
5222043111240
620015125130
73003240150
oct717244656
9273478700
10121457070
1162617549
12348137a6
131c2171b7
14121b8ad0
15a9e2430
hex73d49ae

121457070 has 160 divisors (see below), whose sum is σ = 385837056. Its totient is φ = 26827200.

The previous prime is 121457059. The next prime is 121457087. The reversal of 121457070 is 70754121.

121457070 is a `hidden beast` number, since 1 + 21 + 4 + 570 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 175425 + ... + 176115.

Almost surely, 2121457070 is an apocalyptic number.

121457070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121457070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192918528).

121457070 is an abundant number, since it is smaller than the sum of its proper divisors (264379986).

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

121457070 is a wasteful number, since it uses less digits than its factorization.

121457070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 121457070 is about 11020.7563261330. The cubic root of 121457070 is about 495.2307464143.

The spelling of 121457070 in words is "one hundred twenty-one million, four hundred fifty-seven thousand, seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 31 35 42 45 54 62 63 70 81 90 93 105 126 135 155 162 186 189 210 217 270 279 310 315 378 405 434 465 558 567 630 651 691 810 837 930 945 1085 1134 1302 1382 1395 1674 1890 1953 2073 2170 2511 2790 2835 3255 3455 3906 4146 4185 4837 5022 5670 5859 6219 6510 6910 8370 9674 9765 10365 11718 12438 12555 14511 17577 18657 19530 20730 21421 24185 25110 29022 29295 31095 35154 37314 42842 43533 48370 55971 58590 62190 64263 72555 87066 87885 93285 107105 111942 128526 130599 145110 149947 175770 186570 192789 214210 217665 261198 279855 299894 321315 385578 391797 435330 449841 559710 578367 642630 652995 749735 783594 899682 963945 1156734 1305990 1349523 1499470 1735101 1927890 1958985 2249205 2699046 2891835 3470202 3917970 4048569 4498410 5783670 6747615 8097138 8675505 12145707 13495230 17351010 20242845 24291414 40485690 60728535 121457070