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149095680 = 283541947
BaseRepresentation
bin10001110001100…
…00010100000000
3101101112211211020
420320300110000
5301132030210
622443345440
73460202166
oct1070602400
9341484736
10149095680
1177184878
1241b22280
1324b733c6
1415b31236
15d151770
hex8e30500

149095680 has 144 divisors (see below), whose sum is σ = 488303424. Its totient is φ = 38748160.

The previous prime is 149095657. The next prime is 149095691. The reversal of 149095680 is 86590941.

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, 156967 + ... + 157913.

It is an arithmetic number, because the mean of its divisors is an integer number (3390996).

Almost surely, 2149095680 is an apocalyptic number.

149095680 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 149095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244151712).

149095680 is an abundant number, since it is smaller than the sum of its proper divisors (339207744).

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

149095680 is an equidigital number, since it uses as much as digits as its factorization.

149095680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 149095680 is about 12210.4741922662. The cubic root of 149095680 is about 530.2593722759.

The spelling of 149095680 in words is "one hundred forty-nine million, ninety-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 128 160 164 192 205 240 246 256 320 328 384 410 480 492 615 640 656 768 820 947 960 984 1230 1280 1312 1640 1894 1920 1968 2460 2624 2841 3280 3788 3840 3936 4735 4920 5248 5682 6560 7576 7872 9470 9840 10496 11364 13120 14205 15152 15744 18940 19680 22728 26240 28410 30304 31488 37880 38827 39360 45456 52480 56820 60608 75760 77654 78720 90912 113640 116481 121216 151520 155308 157440 181824 194135 227280 232962 242432 303040 310616 363648 388270 454560 465924 582405 606080 621232 727296 776540 909120 931848 1164810 1212160 1242464 1553080 1818240 1863696 2329620 2484928 3106160 3636480 3727392 4659240 4969856 6212320 7454784 9318480 9939712 12424640 14909568 18636960 24849280 29819136 37273920 49698560 74547840 149095680