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121873920 = 293572267
BaseRepresentation
bin1110100001110…
…10011000000000
322111022211120220
413100322120000
5222144431140
620032103040
73006624360
oct720723000
9274284526
10121873920
1162881753
1234994a80
131c331b5c
14122869a0
15aa75bd0
hex743a600

121873920 has 160 divisors (see below), whose sum is σ = 445471488. Its totient is φ = 27844608.

The previous prime is 121873909. The next prime is 121873951. The reversal of 121873920 is 29378121.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52627 + ... + 54893.

Almost surely, 2121873920 is an apocalyptic number.

121873920 is a gapful number since it is divisible by the number (10) 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 121873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222735744).

121873920 is an abundant number, since it is smaller than the sum of its proper divisors (323597568).

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

121873920 is an equidigital number, since it uses as much as digits as its factorization.

121873920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2300 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 121873920 is about 11039.6521684336. The cubic root of 121873920 is about 495.7966561545.

The spelling of 121873920 in words is "one hundred twenty-one million, eight hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 512 560 640 672 768 840 896 960 1120 1280 1344 1536 1680 1792 1920 2240 2267 2560 2688 3360 3584 3840 4480 4534 5376 6720 6801 7680 8960 9068 10752 11335 13440 13602 15869 17920 18136 22670 26880 27204 31738 34005 36272 45340 47607 53760 54408 63476 68010 72544 79345 90680 95214 108816 126952 136020 145088 158690 181360 190428 217632 238035 253904 272040 290176 317380 362720 380856 435264 476070 507808 544080 580352 634760 725440 761712 870528 952140 1015616 1088160 1160704 1269520 1450880 1523424 1741056 1904280 2031232 2176320 2539040 2901760 3046848 3482112 3808560 4062464 4352640 5078080 5803520 6093696 7617120 8124928 8705280 10156160 12187392 15234240 17410560 20312320 24374784 30468480 40624640 60936960 121873920