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121074688 = 2107219127
BaseRepresentation
bin1110011011101…
…11010000000000
322102211020020201
413031313100000
5221443342223
620003014544
73000055300
oct715672000
9272736221
10121074688
1162386229
123466a454
131c112137
1412119600
15a968ead
hex7377400

121074688 has 132 divisors (see below), whose sum is σ = 298698240. Its totient is φ = 48771072.

The previous prime is 121074671. The next prime is 121074703. The reversal of 121074688 is 886470121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 953281 + ... + 953407.

Almost surely, 2121074688 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 121074688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149349120).

121074688 is an abundant number, since it is smaller than the sum of its proper divisors (177623552).

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

121074688 is a wasteful number, since it uses less digits than its factorization.

121074688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 121074688 is about 11003.3943853704. The cubic root of 121074688 is about 494.7104901644.

The spelling of 121074688 in words is "one hundred twenty-one million, seventy-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 98 112 127 128 133 152 196 224 254 256 266 304 392 448 508 512 532 608 784 889 896 931 1016 1024 1064 1216 1568 1778 1792 1862 2032 2128 2413 2432 3136 3556 3584 3724 4064 4256 4826 4864 6223 6272 7112 7168 7448 8128 8512 9652 9728 12446 12544 14224 14896 16256 16891 17024 19304 19456 24892 25088 28448 29792 32512 33782 34048 38608 49784 50176 56896 59584 65024 67564 68096 77216 99568 113792 118237 119168 130048 135128 136192 154432 199136 227584 236474 238336 270256 308864 398272 455168 472948 476672 540512 617728 796544 910336 945896 953344 1081024 1235456 1593088 1891792 2162048 2470912 3186176 3783584 4324096 6372352 7567168 8648192 15134336 17296384 30268672 60537344 121074688