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151479480 = 233537109313
BaseRepresentation
bin10010000011101…
…10010010111000
3101120000221210010
421001312102320
5302234320410
623010421520
73516361065
oct1101662270
9346027703
10151479480
1178562859
12428918a0
13254c9439
1416191c6c
15d472c20
hex90764b8

151479480 has 128 divisors (see below), whose sum is σ = 472507200. Its totient is φ = 38817792.

The previous prime is 151479473. The next prime is 151479511. The reversal of 151479480 is 84974151.

It is a super-2 number, since 2×1514794802 = 45892065722140800, which contains 22 as substring.

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, 483804 + ... + 484116.

Almost surely, 2151479480 is an apocalyptic number.

151479480 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 151479480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236253600).

151479480 is an abundant number, since it is smaller than the sum of its proper divisors (321027720).

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

151479480 is a wasteful number, since it uses less digits than its factorization.

151479480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 151479480 is about 12307.7000288437. The cubic root of 151479480 is about 533.0704416167.

The spelling of 151479480 in words is "one hundred fifty-one million, four hundred seventy-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 109 111 120 148 185 218 222 296 313 327 370 436 444 545 555 626 654 740 872 888 939 1090 1110 1252 1308 1480 1565 1635 1878 2180 2220 2504 2616 3130 3270 3756 4033 4360 4440 4695 6260 6540 7512 8066 9390 11581 12099 12520 13080 16132 18780 20165 23162 24198 32264 34117 34743 37560 40330 46324 48396 57905 60495 68234 69486 80660 92648 96792 102351 115810 120990 136468 138972 161320 170585 173715 204702 231620 241980 272936 277944 341170 347430 409404 463240 483960 511755 682340 694860 818808 1023510 1262329 1364680 1389720 2047020 2524658 3786987 4094040 5049316 6311645 7573974 10098632 12623290 15147948 18934935 25246580 30295896 37869870 50493160 75739740 151479480